Unit 1 Quadratic 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

Vertically stretched by 3

Shifted right 4 and up 2

200

What is the vertex of the following quadratic function?

y=(x+2)^2-7

Vertex: (-2, -7)

300

What is the Axis of Symmetry for the equation

f(x) = 2x^2-12x+13

AoS: 

x=3

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  y=-4

500

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

y=1/2x^2+3

Minimum Value of y=3

600

Write the equation of a parabola with the given vertex.

Vertex: (-3, 7) that also passes through point (0, -11)

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

Standard Form

100

What is the vertex of the parabola?

y=x^2-4x+1

Vertex: (2, -3)

200

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300

Does the following parabola have a maximum or minimum value? Find that maximum or minimum!

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

Vertex: (-2, 11)

The maximum value is 11

400

What is the vertex of the parabola?

y=3x^2+18x+32

Vertex: (-3, 5)

500

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600

Write the quadratic function in vertex form.

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

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

What is the Formula?

100

What is the parent quadratic function and what is its shape called?

y=x^2

Parabola

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

Simplify 

sqrt(-8800

20isqrt22

500

Suppose 

y=rx^2+px-q

tell me the quadratic formula for this function

x=(-ppmsqrt(p^2-4(r)(-q)))/(2r)

x=(-ppmsqrt(p^2+4rq))/(2r)

600

Solve the equation

x^2+6x=-2+5

x= -3 + 2sqrt(3), -3 - 2sqrt(3)

Factoring Quadratic Expressions

100

Factoring the following quadratic expression.

x^2+13x+42

(x+6)(x+7)

200

Factoring the following quadratic expression.

3x^2+8x-3

(3x-1)(x+3)

300

Factoring the following expression.

x^3-2x^2-24x

x(x-6)(x+4)

400

Rewrite the following quadratic equation in its Factored Form

y= -x^2+16x-55

y=-(x-5)(x-11)

500

Factoring the following quadratic expression.

16x^2-40x+25

(4x-5)^2

600

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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.

x^2-2x-24=0

x=-4, 6

400

Solve the quadratic equation:

-11x+3x^2+38 = -30+10x+2x^2

x=17 or x=4

500

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600

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The "i's" have it

100

What is 

sqrt(-40)

2isqrt(10)

200

Solve 

x^2+4=0

x=pm2i

300

Multiply (3+2i)(-7-i)

-19-17i

400

Simplify:

(4i+10)/(-i+1)

3+7i

500

Solve the Quadratic 

4x-7=x^2

x=2pmisqrt(3)

600

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