Question
In the xy - plane, which of the following changes to the graph of the equation y = x2 + 3 will result in the graph of the equation y = (x2 + 3) -6 ?
- A shift 6 units to the left
- A shift 6 units to the right
- A shift 6 units upward
- A shift 6 units downward
The correct answer is: A shift 6 units downward
HINT :- Find the shift by finding the difference in the new and old coordinates
Given, 1st equation is y = x2 + 3
The new equation is Y = (x2 + 3) - 6 now substitute the old small y in the translated equation we get Y = y - 6 to get a new Y coordinate we need to subtract 6 i.e move 6 units downward from the previous position. So, A shift 6 units downward
Related Questions to study
The scatterplot above shows the numbers of grams of both total protein and total fat for eight sandwiches on a restaurant menu. The line of best fit for the data is also shown. According to the line of best fit, which of the following is closest to the predicted increase in total fat, in grams, for every increase of 1 gram in total protein?
A gram of Carbohydrates contain '4' calories, a gram of protein contains '4' calories, and a gram of fat contains '9' calories. Because one gram of fat contains '9' calories, divide the total number of calories by 9. 400, calories divided by 9 equals 44 grams. Then multiply 700 calories by 9 to obtain 78 grams.
To calculate total fat, look for the amount of fat found per serving of food in grams to determine its fat content. For example, if '1' teaspoon of butter weighs 4.7 grams and contains 3.8 grams of fat, you'll know that fat makes up about 80% of its weight.
The scatterplot above shows the numbers of grams of both total protein and total fat for eight sandwiches on a restaurant menu. The line of best fit for the data is also shown. According to the line of best fit, which of the following is closest to the predicted increase in total fat, in grams, for every increase of 1 gram in total protein?
A gram of Carbohydrates contain '4' calories, a gram of protein contains '4' calories, and a gram of fat contains '9' calories. Because one gram of fat contains '9' calories, divide the total number of calories by 9. 400, calories divided by 9 equals 44 grams. Then multiply 700 calories by 9 to obtain 78 grams.
To calculate total fat, look for the amount of fat found per serving of food in grams to determine its fat content. For example, if '1' teaspoon of butter weighs 4.7 grams and contains 3.8 grams of fat, you'll know that fat makes up about 80% of its weight.
x - y = 1
x + y = x2 - 3
Which ordered pair is a solution to the system of equations above?
x - y = 1
x + y = x2 - 3
Which ordered pair is a solution to the system of equations above?
P(t) = 250 + 10t
The population of snow leopards in a certain area can be modeled by the function P defined above, where P(t) is the population t years after 1990 . Of the following, which is the best interpretation of the equation P(30) = 550 ?
P(t) = 250 + 10t
The population of snow leopards in a certain area can be modeled by the function P defined above, where P(t) is the population t years after 1990 . Of the following, which is the best interpretation of the equation P(30) = 550 ?
If Mosteller’s and Current’s formulas give the same estimate for A, which of the following expressions is equivalent to ?
Mosteller’s formula: A =
Current’s formula: A =
The formulas above are used in medicine to estimate the body surface area A, in square meters, of infants and children whose weight w ranges between 3 and 30 kilograms and whose height h is measured in centimetres.
Mosteller's equation: "A=sqrt(hw)/60" The current equation is A=(4+w)/30. In medicine, the formulas mentioned above are used to calculate the body surface area A, in square meters, of newborns and kids whose weights (w) range from 3 to 30 kilograms and whose heights (h) are measured in centimeters.
If Mosteller’s and Current’s formulas give the same estimate for A, which of the following expressions is equivalent to ?
Mosteller’s formula: A =
Current’s formula: A =
The formulas above are used in medicine to estimate the body surface area A, in square meters, of infants and children whose weight w ranges between 3 and 30 kilograms and whose height h is measured in centimetres.
Mosteller's equation: "A=sqrt(hw)/60" The current equation is A=(4+w)/30. In medicine, the formulas mentioned above are used to calculate the body surface area A, in square meters, of newborns and kids whose weights (w) range from 3 to 30 kilograms and whose heights (h) are measured in centimeters.
The graph above shows the temperature in a room during a day when the thermostat malfunctioned. For which of the following two-hour periods was difference between the maximum and minimum temperatures greatest?
The graph above shows the temperature in a room during a day when the thermostat malfunctioned. For which of the following two-hour periods was difference between the maximum and minimum temperatures greatest?
Ryan is comparing five different hat balers (machines that make bales of hay). The bales made are all in the shape of a cylinder, as shown in the figure.
The price of each hay baler and the dimensions of the bales of hay it makes are shown in the table given.
Which of the following is closest to the percent by which the price of hay baler E exceeds the price of hay baler C?
Ryan is comparing five different hat balers (machines that make bales of hay). The bales made are all in the shape of a cylinder, as shown in the figure.
The price of each hay baler and the dimensions of the bales of hay it makes are shown in the table given.
Which of the following is closest to the percent by which the price of hay baler E exceeds the price of hay baler C?
Based on Current’s formula, what is w in terms of A ?
Mosteller’s formula: A =
Current’s formula: A =
The formulas above are used in medicine to estimate the body surface area A, in square meters, of infants and children whose weight w ranges between 3 and 30 kilograms and whose height h is measured in centimetres.
Based on Current’s formula, what is w in terms of A ?
Mosteller’s formula: A =
Current’s formula: A =
The formulas above are used in medicine to estimate the body surface area A, in square meters, of infants and children whose weight w ranges between 3 and 30 kilograms and whose height h is measured in centimetres.
Ryan is comparing five different hay balers (machines that make bales of hay). The bales made are all in the shape of a cylinder, as shown in the figure.
The price of each hay baler and the dimensions of the bales of hay it makes are shown in the table given.
Of the following, which ratio is closest to the width of bales made by hay baler A to the width of bales made by the hay baler D?
Ryan is comparing five different hay balers (machines that make bales of hay). The bales made are all in the shape of a cylinder, as shown in the figure.
The price of each hay baler and the dimensions of the bales of hay it makes are shown in the table given.
Of the following, which ratio is closest to the width of bales made by hay baler A to the width of bales made by the hay baler D?
The scatterplot above shows data for ten charities along with the line of best fit. For the charity with the greatest percent of total expenses spent on programs, which of the following is closest to the difference of the actual percent and the percent predicted by the line of best fit?
Expenses are sums of money spent on goods or services. It is defined as the amount of money required to obtain something."It takes money to make money," as the adage goes. Supplier payments, employee wages, factory leases, and equipment depreciation are all everyday expenses.
For example, running a car can be costly in terms of fuel, repairs, and insurance.
Profit (P): When a product is sold for more than its cost, the seller makes a profit.
Loss (L): When a product is sold for less than its cost, the seller suffers a loss.
The scatterplot above shows data for ten charities along with the line of best fit. For the charity with the greatest percent of total expenses spent on programs, which of the following is closest to the difference of the actual percent and the percent predicted by the line of best fit?
Expenses are sums of money spent on goods or services. It is defined as the amount of money required to obtain something."It takes money to make money," as the adage goes. Supplier payments, employee wages, factory leases, and equipment depreciation are all everyday expenses.
For example, running a car can be costly in terms of fuel, repairs, and insurance.
Profit (P): When a product is sold for more than its cost, the seller makes a profit.
Loss (L): When a product is sold for less than its cost, the seller suffers a loss.