How does the graph of g(x) = x 2 - 4 compare to that of f(x) = x 2

Suppose a goalie kicks a soccer ball. The ball travels in a parabolic path from point (0,0) to (57,0). Consider a quadratic function in vertex form for the path of the ball. Which values can you determine? What values are you unable to determine? Explain.

A polynomial function is referred to as quadratic if it has one or more variables and a variable with a maximum exponent of two. It is sometimes referred to as the polynomial of degree 2 since the greatest degree term in a quadratic function is of the second degree.
The locations whose coordinates are of the form are connected by the parent quadratic function, which has the form f(x) = x2 (number, number2). The parent quadratic function joins the places whose coordinates have the form f(x) = x2 (number, number2). This function, which generally has the form f(x) = a (x - h)2 + k, can be transformed to take the form f(x) = ax2 + bx + c.

Suppose a goalie kicks a soccer ball. The ball travels in a parabolic path from point (0,0) to (57,0). Consider a quadratic function in vertex form for the path of the ball. Which values can you determine? What values are you unable to determine? Explain.

The function f(x)= - (x-1)² +8 models the path of a volleyball. The height of a net is 7 ft 4 in. will the ball go over if the player is 2 ft from the net? Explain.

A pole of length 10 m casts a shadow 2 m long on the ground. At the same time, a tower casts a shadow of length of 60 m on the ground. Find the height of the tower.

Shade the triangle formed by the graphs of 2x + y = 4, x – y = 2 and the y-axis.
Write the co-ordinates of vertices of the triangle.

Draw the graph of linear equation 2X-y= 3 and 3X+2Y=1 Also, find the point of
intersection of two lines on the graph paper.

The lines that form the three sides of the triangle can be grouped into three different systems of two linear equations.
a) Describe the system of equations that has each solution ?
i)(2,4)
ii)(-2,-2)
iii)(4,-5)
b) Replace the solution (4,-5) to make an acute angle triangle. What are the coordinates of the new triangle?
c) Describe the system of equations that will produce each of the new coordinates.

Select which is the solution of the system of the equations .
Y= -3X-3
Y= -0.5X+2

Consider the system of equations :
Y= 3/4x+2
3X+4Y=8
How many lines does the graph of this system have ?What is the solution of the system ?

Gabriela considers buying fleece jackets from Anastasia’s Monograms or monograms unlimited. Anastasia charges a one time design fee and a price per jacket. Monograms unlimited only charges a price per jacket .
a) Write and solve a system of equations to represent the cost for a jacket from each company.
b) What does the solution mean ?
c) Gabriela needs to buy 10 jackets. Which company should she choose ? How does the graph help her decide . Explain.

A sweater pattern is designed such that each line is parallel to the next one. Choose the correct option.

Which of the following is a value of x for which the expression $fraction numerator negative 3 over denominator a squared plus 3 m minus 10 end fraction$ is undefined?