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 Quadratic Vocabulary Solving Quadratic Equations Factoring Graphing Quadratic Functions Random Quadratic Questions 100 100 100 100 100 200 200 200 200 200 300 300 300 300 300 400 400 400 400 400 500 500 500 500 500 Final Question

What is the name of the graph of a quadratic function?

What is the name of the graph of a quadratic function?

PARABOLA

What is the name of the line that cuts the graph of a quadratic in half?

What is the name of the line that cuts the graph of a quadratic in half?

AXIS OF SYMMETRY

What is the name of the maximum or minimum of a quadratic function?

What is the name of the maximum or minimum of a quadratic function?

VERTEX

What is the vertex formula?

What is the vertex formula?

What is the set of all possible y-values called?

What is the set of all possible y-values called?

Range

Solve this equation:

x2 = 49

Solve this equation:

x2 = 49

x = ±7

Solve this equation:

(2x+1)(x-3)=0

Solve this equation:

(2x+1)(x-3)=0

x=-1/2 and x=3

Solve the equation:

2x2+6=-26

Solve the equation:

2x2+6=-26

2x2=-32

x2=-16

x=±4i

Solve this equation:

x2+6x+9=25

Solve this equation:

x2+6x+9=25

(x+3)2=25

√ both sides

x+3 = ±5

x=-3±5

x=-3+5=2 and x=-3-5=-8

x=2 and x = -8

Solve this equation:

0=2x2-7x-5

Solve this equation:

0=2x2-7x-5

Factor the expression:

x2-11x+24

Factor the expression:

x2-11x+24

(x-3)(x-8)

Factor the expression:

x2-x-132

Factor the expression:

x2-x-132

(x-12)(x+11)

Factor the expression:

25x2-4

Factor the expression:

25x2-4

(5x+2)(5x-2)

Factor the expression:

2x2+23x+11

Factor the expression:

2x2+23x+11

(2x+1)(x+11)

Factor the expression:

3x2+13x-10

Factor the expression:

3x2+13x-10

(3x-2)(x+5)

What is the vertex of the parabola?

y=-0.5(x+4)2+6

What is the vertex of the parabola?

y=-0.5(x+4)2+6

(-4,6)

Given: a=1

What is the equation of the parabola in vertex form?

Given: a=1

What is the equation of the parabola in vertex form?

y=(x-2)2-9

Given: One x-intercept is (0.5,0) and a = 2.

What is the equation of the quadratic function in intercept form?

Given: One x-intercept is (0.5,0) and a = 2.

What is the equation of the quadratic function in intercept form?

y = 2(x - 0.5)(x - 5)

or

y = 2(2x - 1)(x - 5)

What are the coordinates of the x-intercepts of this quadratic function?

y=16x2 - 1

What are the coordinates of the x-intercepts of this quadratic function?

y=16x2 - 1

Solve: 0=16x2-1

(1/4, 0) and (-1/4, 0)

What is the Axis of Symmetry of this quadratic function?

y=3x2-7x

What is the Axis of Symmetry of this quadratic function?

y=3x2-7x

By Vertex Formula:

x=-(-7)/(2*3)

7/6

or

1.1667

What is the range of this parabola?

What is the range of this parabola?

y≥-2

What is the equation in standard form?

y=(x+4)2-1

What is the equation in standard form?

y=(x+4)2-1

y=(x+4)(x+4)-1

y=x2+4x+4x+16-1

y=x2+8x+15

What is the equation in standard form?

y=-(x-2)(x+10)

What is the equation in standard form?

y=-(x-2)(x+10)

y=-(x2+10x-2x-20)

y=-(x2+8x-20)

y=-x2-8x+20

What is the vertex form of the equation?

y=x2-10x+21

What is the vertex form of the equation?

y=x2-10x+21

y+c=(x2 -10x+c) +21

Find c: 1/2(10)=5→52=25=c

y+25 = (x2-10x+25)+21

y+25=(x-5)2+21

subtract 25 from both sides

y=(x-5)2-4

A parabola has a vertex of (1,-2) and passes through the point (0,0).

What is the equation of the parabola?

A parabola has a vertex of (1,-2) and passes through the point (0,0).

What is the equation of the parabola?

From the vertex we know:

y=a(x-1)2-2

From the point we know x & y:

0=a(0-1)2-2

0=a(-1)2-2

0=1a-2

2=a

Put "a" in the equation

y=2(x-1)2-2

Write an equation in vertex form that has a range of y≤5.

Write an equation in vertex form that has a range of y≤5.

Any parabola with a y-coordinate of the vertex of 5 and opens down.

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