Maths-
General
Easy
Question
Find the y-intercept of the following function
f(x) = 2x2 – 4x – 6
Hint:
For a quadratic function is in standard form, f(x)=ax2+bx+c.
The y-intercept is the point where a graph crosses the y-axis. In other words, it is the value of y when x=0.
The correct answer is: -6.
We have given a function
f(x) = 2x2 – 4x – 6
We will compare the given equation with the standard equation f(x)=ax2+bx+c.
We know that for y intercept , x = 0
So, for finding y- intercept
f(x) = y = 2(0)2 – 4(0) – 6
y = -6
On comparing with the standard form y-intercept is equal to c
y-intercept of given quadratic function is -6.
Related Questions to study
Maths-
Points (2, -1), (-2, 7), (1, -2), (0, -1) and (4, 7) lie on graph of a quadratic function
1.Find axis of symmetry of graph
2.Find the vertex
3.Find the y-intercept
4.Over what interval does the function increase
Points (2, -1), (-2, 7), (1, -2), (0, -1) and (4, 7) lie on graph of a quadratic function
1.Find axis of symmetry of graph
2.Find the vertex
3.Find the y-intercept
4.Over what interval does the function increase
Maths-General
Maths-
Estimate the coordinates of the vertex of the graph of f(x) = 1.25x2 -2x -1 below. Then explain how to find the exact coordinates
Estimate the coordinates of the vertex of the graph of f(x) = 1.25x2 -2x -1 below. Then explain how to find the exact coordinates
Maths-General
Maths-
To identify the y-intercept of quadratic function, would you choose to use vertex form or standard form? Explain
To identify the y-intercept of quadratic function, would you choose to use vertex form or standard form? Explain
Maths-General
Maths-
A water balloon is tossed into the air. The function h(x) = -0.5(x-4)2 + 9 gives the height, in feet, of the balloon from the surface of a pool as a function of the balloon’s horizontal distance from where it was first tossed. Will the balloon hit the ceiling 12 ft above the pool? Explain
A water balloon is tossed into the air. The function h(x) = -0.5(x-4)2 + 9 gives the height, in feet, of the balloon from the surface of a pool as a function of the balloon’s horizontal distance from where it was first tossed. Will the balloon hit the ceiling 12 ft above the pool? Explain
Maths-General
Maths-
Sage began graphing f(x) = -2x2 + 4x + 9 by finding the axis of symmetry x = -1. Explain the error Sage made?
Sage began graphing f(x) = -2x2 + 4x + 9 by finding the axis of symmetry x = -1. Explain the error Sage made?
Maths-General
Maths-
How are the form and graph of f(x) = ax2 + bx + c similar to the form and graph of g(x) = ax2 + bx? How are they different?
How are the form and graph of f(x) = ax2 + bx + c similar to the form and graph of g(x) = ax2 + bx? How are they different?
Maths-General
Maths-
How is the standard form of a quadratic function different from vertex form?
How is the standard form of a quadratic function different from vertex form?
Maths-General
Maths-
Suppose the path of the ball in above figure is f(x) = -0.25(x-1)2 + 6.25. Find the ball’s initial and maximum heights.
Suppose the path of the ball in above figure is f(x) = -0.25(x-1)2 + 6.25. Find the ball’s initial and maximum heights.
Maths-General
Maths-
Mia tosses a a ball to her dog. The function -0.5(x-2)2 + 8 represents the ball path.
Mia tosses a a ball to her dog. The function -0.5(x-2)2 + 8 represents the ball path.
Maths-General
Maths-
The trajectory of the water from Fountain A is represented by a function in standard form while the trajectory of the water from Fountain B is represented by table of values. Compare the vertex of each function. Which trajectory reached greatest height in feet?
The trajectory of the water from Fountain A is represented by a function in standard form while the trajectory of the water from Fountain B is represented by table of values. Compare the vertex of each function. Which trajectory reached greatest height in feet?
Maths-General
Maths-
Graph f(x) = 0.25x2 – 0.5x - 6. What are axis of symmetry, vertex and y-intercept of the function
Graph f(x) = 0.25x2 – 0.5x - 6. What are axis of symmetry, vertex and y-intercept of the function
Maths-General
Maths-
Graph f(x) = -3x2 - 6x - 5. What are axis of symmetry, vertex and y-intercept of the function
Graph f(x) = -3x2 - 6x - 5. What are axis of symmetry, vertex and y-intercept of the function
Maths-General
Maths-
Graph f(x) = -0.5x2 + 2x + 3. What are axis of symmetry, vertex and y-intercept of the function
Graph f(x) = -0.5x2 + 2x + 3. What are axis of symmetry, vertex and y-intercept of the function
Maths-General
Maths-
Graph f(x) = 2x2 + 8x - 1. What are axis of symmetry, vertex and y-intercept of the function
Graph f(x) = 2x2 + 8x - 1. What are axis of symmetry, vertex and y-intercept of the function
Maths-General
Maths-
Graph f(x) = -0.75x2 + 3x - 4. What are axis of symmetry, vertex and y-intercept of the function
Graph f(x) = -0.75x2 + 3x - 4. What are axis of symmetry, vertex and y-intercept of the function
Maths-General