Graphing Quadratic Functions Test Review

Vocabulary

100

What is the name for a U-shaped graph in the quadratic equation?

Parabola

200

How do we call the highest or lowest point on a parabola.

Vertex

300

What is the name of the form for this quadratic equation? y = ax² +bx + c

Standard form

400

If I multiply (x-4)(x+3), I get x² -x-12.  What can we call these expressions?

Equivalent

500

y=(x+6)(x-2) is an example of a quadratic equation written in what form?

Factored form

Misc.

100

What form is the quadratic equation y = x² + 5x - 8 in? 

Standard form.

200

What is a y-intercept?

Point where the parabola crosses through the y-axis.

300

If I know the two x-intercepts for a graph, how do I find the x-coordinate of the vertex?

Find the value in the middle of the two x-intercepts.

400

If I have the x-coordinate of the vertex, how do I find the y-coordinate of the vertex?

Plug the x-coordinate value into the equation

500

If I have a standard form equation (ax²+bx+c) and I know that a < 0, which way will the graph open?

Down!

x-intercepts

100

Name the x-intercepts for y=(x-2)(x+6)

(2,0) and (-6,0)

200

Name the x-intercepts for y = (x)(x - 2)

(0,0) and (2,0)

300

Name the x-intercepts for y = (x - 9) (2x + 2)

(9, 0) and (-1, 0)

400

Name the x-intercepts for y = (3x - 9)(x + 7)

(3, 0) and (-7, 0)

500

Name the x-intercept(s) for y=(x-5)²

(5, 0)

y-intercepts

100

What is the y-intercept of x^2 + 3x - 4

(0, -4)

200

What is the y-intercept of x^2 + 4x -10

(0,-10)

300

What is the y-intercept of x^2 + 5

(0, 5)

400

What is the y-intercept of x^2 + 3x

(0,0)

500

What is the y-intercept of (x + 3)(x + 5)

(0, 15)

Vertex

100

I know the x-intercepts of a quadratic equation are (3,0) and (5,0).  What is the x-coordinate of the vertex?

4

200

I know the x-intercepts of a quadratic equation are (-3,0) and (5,0).  What is the x-coordinate of the vertex?

1

300

I know that the x-intercepts of the quadratic equation y = (x-10)(x+2) are (10,0) and (-2,0), so the x-coordinate of the vertex is 4.  What is the y-coordinate of the vertex?

-36

400

I know that the x-intercepts of the quadratic equation y = (x+8)(x+2) are (-8,0) and (-2,0), so the x-coordinate of the vertex is -5.  What is the y-coordinate of the vertex?

-9

500

I know that the x-intercepts of the quadratic equation y = (x-4)(x+2) are (4,0) and (-2,0).  Find BOTH the x- and y-coordinate of the vertex.

(1, -9)