Algebra II Chapter 4 Sections 1-5 Test Review

Vertex Form

100

Identify the transformations being applied to the parent quadratic function.

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

Reflected Across the X-axis

Stretched by 3

Right 4

Up 2

200

What is the vertex of the following quadratic function?

y=(x+2)^2-7

Vertex: (-2, 7)

300

If the vertex is (4, -5), what is the Axis of Symmetry?

AoS: 

x=4

400

Does the following quadratic function have a maximum or minimum? What is that max or min value?

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

Maximum Value of -4

500

Does the following quadratic function have a maximum or minimum? What is that max or min value?

y=1/2x^2+3

Minimun Value of 3

600

Write the equation of a parabola with the given vertex.

Vertex: (-3, 7)

y=-12(x+3)^2+7

Standard Form

100

What is the vertex of the parabola?

y=x^2-4x+1

Vertex: (2, -3)

200

What is the vertex of the parabola?

y=3x^2+18x+32

Vertex: (-3, 5)

300

Write the quadratic function in vertex form.

y=x^2-8x+19

y=(x-4)^2+3

400

Write the quadratic function in vertex form.

y=-2x^2-4x+6

y=-2(x+1)^2+8

500

What is the y-intercept of the quadratic function?

y=2x^2+4x-4

Y-Intercept: (0, 4)

600

Does the following parabola have a maximum or minimum value?

y=-2x^2-8x+3

Maximum Value

What is the Formula?

100

What is the parent quadratic function?

y=x^2

200

What is the following form of the quadratic function called?

y=a(x-h)^2+k

Vertex Form

300

What is the Standard Form of the quadratic function?

y=ax^2+bx+c

400

What task is easier to complete is you have the quadratic function in Vertex Form verses Standard Form?

Graphing the Function

500

What is the graph (shape of the graph) of a quadratic function called?

Parabola

600

Solve the equation for x:

x^2+6x=3

x= -3 + sqrt(17), -3 - sqrt(17)

Factoring Quadratic Expressions

100

Factoring the following quadratic expression.

x^2+13x+42

(x+6)(x+7)

200

Factoring the following quadratic expression.

-x^2+16x-55

-(x-5)(x-11)

300

Factoring the following quadratic expression.

-9x^2+6x

-3x(3x-2)

400

Factoring the following quadratic expression.

3x^2+8x-3

(3x-1)(x+3)

500

Factoring the following quadratic expression.

16x^2-40x+25

(4x-5)^2

600

Factoring the following quadratic expression.

25x^2-9

(5x+3)(5x-3)

Solving Quadratic Equations

100

What are the two zeros that come from the following binomials?

x(2x-3)=0

x=0, 3/2

200

What are the two zeros that come from the following binomials?

(x-3)(2x+5)=0

x=3, -5/2

300

Solve the quadratic equation by factoring.

x^2-2x-24=0

x=-4, 6

400

Solve the quadratic equation by factoring.

4x^2+6x=0

x=0, -3

500

Solve the quadratic equation by factoring.

3x^2=x+4

x=-1, 4/3

600

Solve the quadratic equation. 

x^2-8x+9=2

x= 1, 7