Test Review - Quadratic Equations

no real solutions

Determine the number of real solutions for a quadratic with discriminant of -64

1 real solution

Determine the number of real solutions for a quadratic with discriminant of 0

2 real solutions

Determine the number of real solutions for a quadratic with discriminant of 4

-64

Find the discriminant 2x²-4x+10=0

89

Find the discriminant for 2x²+5x-8=0

-60

Find the discriminant for 2x²+6x+12=0

13

Find the discriminant for 3x²+7x+3=0

0

Find the discriminant for x²+2x+1=0

4

Find the discriminant for x²+4x+3=0

32

Find the discriminant for x²-2x-7=0

-24

Find the discriminant for x²-4x+10=0

8

Find the discriminant for x²-6x+7=0

100

Find the value of c that makes x²+20x+c a perfect square trinomial

4

Find the value of c that makes x²+4x+c a perfect square trinomial

6.25

Find the value of c that makes x²+5x+c a perfect square trinomial

9

Find the value of c that makes x²+6x+c a perfect square trinomial

20.25

Find the value of c that makes x²+9x+c a perfect square trinomial

30.25

Find the value of c that makes x²-11x+c a perfect square trinomial

49

Find the value of c that makes x²-14x+c a perfect square trinomial

81

Find the value of c that makes x²-18x+c a perfect square trinomial

1

Find the value of c that makes x²-2x+c a perfect square trinomial

1225

Find the value of c that makes x²-70x+c a perfect square trinomial

1

How many solutions does a quadratic equation have if the vertex is on the x-axis?

2

How many solutions does a quadratic equation that opens down with a vertex of (2, 4) have?

0 or No real solution

How many solutions does a quadratic equation that opens up with a vertex of (2, 4) have?

Minimum

If a quadratic equation opens upward, is the vertex a maximum or minimum?

a

In the expression ax² + bx + c, which value determines how the parabola opens?

x

Is the axis of symmetry the x value of the vertex or the y value of the vertex

Minimum

Is the vertex for the quadratic equation x² - 4x + 6 = 0 a max or a min?

{-9.9, -0.1}

Solve by completing the square. Round to the nearest tenth if necessary: 2x²+20x=-2

{-11, -1}

Solve by completing the square. Round to the nearest tenth if necessary: x²+12x+21=10

{2, -6}

Solve by completing the square. Round to the nearest tenth if necessary: x²+4x-12=0

{-7, 1}

Solve by completing the square. Round to the nearest tenth if necessary: x²+6x=7

{2. 12}

Solve by completing the square. Round to the nearest tenth if necessary: x²-14x+30=6

{-3, 5}

Solve by completing the square. Round to the nearest tenth if necessary: x²-2x=15

{-1.4, 3.4}

Solve by completing the square. Round to the nearest tenth if necessary: x²-2x=5

{0.3, 3.7}

Solve by completing the square. Round to the nearest tenth if necessary: x²-4x+1=0

{0.8, 5.2}

Solve by completing the square. Round to the nearest tenth if necessary: x²-6x+4=0

{1.6, 6.4}

Solve by completing the square. Round to the nearest tenth if necessary: x²-8x+10=0

{3, 5}

Solve by completing the square. Round to the nearest tenth if necessary: x²-8x+15

{-4, 9}

Solve by factoring. x² - 5x - 36=0

{-4, 5}

Solve by factoring. x² - x - 20=0

{-6, -5}

Solve by factoring. x²+11x+30=0

{-7, 7}

Solve by using square roots. Round to the nearest tenth if necessary: x² - 49=0

{-3½, 1}

Solve by using the Quadratic Formula. Round to the nearest tenth if necessary 2x²+5x-7=0

∅

Solve by using the Quadratic Formula. Round to the nearest tenth if necessary: 2x²+5x+4=0

{-4½, 1}

Solve by using the Quadratic Formula. Round to the nearest tenth if necessary: 2x²+7x=9

{½, 1}

Solve by using the Quadratic Formula. Round to the nearest tenth if necessary: 2x²-3x=-1

{-1.4, 0.7}

Solve by using the Quadratic Formula. Round to the nearest tenth if necessary: 3x²+2x-3=0

{-2/3, 3}

Solve by using the Quadratic Formula. Round to the nearest tenth if necessary: 3x²-7x-6=0

{-3.7, -0.3}

Solve by using the Quadratic Formula. Round to the nearest tenth if necessary: x²+4x=-1

{-5.4, -0.6}

Solve by using the Quadratic Formula. Round to the nearest tenth if necessary: x²+6x+3=0

{0.5, 6.5}

Solve by using the Quadratic Formula. Round to the nearest tenth if necessary: x²-7x=-3

no real solutions

Solve by using the Quadratic Formula. Round to the nearest tenth if necessary: x²-9x+22=0

Axis of Symmetry

The line that splits a quadratic equation at the point of symmetry is called

x = {-3, -1}

What are the solutions of the graph shown?

x = {-3, 1}

What are the solutions of the graph shown?

x = {∅}

What are the solutions of the graph shown?

x = {∅} no solution

What are the solutions of the graph shown?

x = 2

What is the axis of symmetry for the quadratic equation x² - 4x + 6 = 0?

x = 0

What is the axis of symmetry for the quadratic equation y = x² + 2?

x = -1

What is the axis of symmetry in the graph shown?

x = -2

What is the axis of symmetry in the graph shown?

x = 0

What is the axis of symmetry in the graph shown?

Vertex

What is the point at which the parabola begins to change direction?

y ≤ -4

What is the range in the graph shown?

y ≥ -1

What is the range in the graph shown?

y ≥ -4

What is the range in the graph shown?

y ≥ 1

What is the range in the graph shown?

(2, 2)

What is the vertex for the quadratic equation x² - 4x + 6 = 0?

(0, 2)

What is the vertex for the quadratic equation y = x² + 2?

(-1, -4)

What is the vertex in the graph shown?

(-2, -1)

What is the vertex in the graph shown?

(0, -4)

What is the vertex in the graph shown?

(0, 1)

What is the vertex in the graph shown?

Create an x / y table.

When graphing a quadratic equation, what is the step that follows finding the vertex?

Down

Will the graph for the quadratic equation f(x) = -2x² + 8x - 3 open up or down?