Key Features
x-intercepts
y-intercepts
vertices
(vertexes)
Functions
100

This is the point(s) where the graph of the function crosses the x-axis.

What are the x-intercepts?

100

These are the x-intercepts for the equation:

f(x)=4(x-5)(x+2)

What are (5,0) and (-2,0)

100

This is the y-intercept of the function:

y = x^2 - 3x + 8

What is (0,8)?

100

This is the vertex of the function:

f(x) = (x - 4)^2 + 3

What is (4,3)?

100

Based on the table write an appropriate function in vertex form.

What is y = -(x - 1)2 + 3? 

200
This is the highest or lowest point of the graph of a quadratic.

What is the vertex?

200

These are the x-intercepts for the equation:

g(x)=(x-7)^2

What is (7,0).

200

This is the y-intercept of the function:

y = (x - 4)(x + 5)

What is (0,-20)

200

This is the vertex of the function:

f(x) = -2(x + 5)^2 - 7

What is (-5,-7)?

200

Based on the table this is the function written in factored form.

What is y=(x+2)(x-2)?

300

This is the point(s) where the graph of the function crosses the y-axis.

What is the y-intercept?

300

These are the x-intercepts for the equation:

f(x) = -x^2 +9

What are (3,0) and (-3,0).
300

This is the y-intercept of the function:

y = (x - 3)^2 + 2

What is (0, 11)?

300

This is the vertex of the function:

f(x) = (x - 2)(x - 8)

What is (5,-9)?

300

Based on the table the function written in standard form is this.

What is y=x2 +4x +5?

400

This is the vertical line that passes through the vertex and separates the left and right halves of the graph of a quadratic.

What is the line of symmetry?

400

These are the x-intercepts for the equation:

f(x) = x^2 -5x +6

What are (2,0) and (3,0)?

400

This is the y-intercept of the function:

y = -2(x + 3)(x - 1)

What is (0,6)

400

This is the vertex of the function:

f(x) = x^2 - 6x + 5

What is (3,-4)?

400

Based on the table the function written in factored form is this.


What is y=2(x-1)(x-5)?

500

This is the set of all y-values that the graph of a function can possibly be.

What is the range?

500

These are the x-intercepts for the function:

f(x) = x^2-4x+1

What are (2+√ 3,0) and (2-√ 3,0)

500

This is the y-intercept of the function:

y = -3(x + 2)^2 - 5

What is (0,-17)

500

This is the vertex of the function:

f(x) = 2x^2 - 8x + 6

What is (2,-2)?

500

Based on the table this is the function written in vertex form.

What is y=-2(x+2)2 +8?