Quiz about Quadratic Equations Review

Question 1

Describe ALL the transformations of the equation: $$y=-x^2+6$$

Accepted Answer

Reflected across the x-axis

Accepted Answer

Shifted up 6

Answer

Shifted left 6

Answer

Shifted right 6

Question 2

Describe ALL the transformations that would occur when graphing: $$y=\left(x+4\right)^2-1$$

Accepted Answer

Shifted left 4

Accepted Answer

Shifted down 1

Answer

Shifted right 4

Answer

Shifted up 1

Question 3

Select ALL transformations that occurred to this graph: $$y=2\left(x-5\right)^2+4$$

Accepted Answer

Shifted right 5

Accepted Answer

Shifted up 4

Accepted Answer

Vertical Stretch

Answer

Reflection over the x-axis

Question 4

Find the solutions: $$x^2+4x-45=0$$

Accepted Answer

$$x=\left\{-9,5\right\}$$

Answer

$$x=\left\{-5,9\right\}$$

Answer

$$x=\left\{0,4\right\}$$

Answer

$$x=\left\{-9,-5\right\}$$

Question 5

Find the zeros: $$16x^2=10x$$

Accepted Answer

$$x=\left\{0,\frac{5}{8}\right\}$$

Answer

$$x=\left\{0,\frac{8}{5}\right\}$$

Answer

$$x=\left\{0\right\}$$

Answer

$$x=\left\{\frac{5}{8}\right\}$$

Question 6

Find the roots: $$3x^2-8x-8=0$$

Accepted Answer

$$x=\frac{4\pm2\sqrt[]{10}}{3}$$

Answer

$$x=8\pm4\sqrt[]{10}$$

Answer

$$x=\frac{-4\pm2\sqrt[]{10}}{3}$$

Answer

$$x=\frac{4\pm2\sqrt[]{10}}{6}$$

Question 7

Find the zeros: $$-x^2+3x=x-19$$

Accepted Answer

$$x=1\pm2\sqrt[]{5}$$

Answer

$$x=\frac{-2\pm\sqrt[]{40}}{-2}$$

Answer

$$x=1,\ -1$$

Answer

$$x=2\sqrt[]{5}$$

Question 8

Find the discriminant to determine the number of solutions.

$$y=-x^2+7x-15$$

Accepted Answer

No Solution

Answer

1 solution

Answer

2 solutions

Question 9

Find the discriminant to determine the number of solutions.

$$y=3x^2-12x$$

Accepted Answer

2 solutions

Answer

No Solution

Answer

1 solution

Question 10

Find the discriminant to determine the number of solutions.

$$y=x^2-20x+100$$

Accepted Answer

1 solution

Answer

No Solution

Answer

2 solutions

Question 11

Solve: $$x^2-2x-17=0$$

Accepted Answer

$$x=1\pm3\sqrt[]{2}$$

Answer

$$x=2,\ -17$$

Answer

$$x=-1\pm3\sqrt[]{2}$$

Answer

$$x=-2,\ 17$$

Question 12

Find the zeros: $$6x^2=7x+5$$

Accepted Answer

$$x=-\frac{1}{2}\ \&\ \frac{5}{3}$$

Answer

$$x=\frac{1}{2}\ \&\ -\frac{5}{3}$$

Answer

$$x=\frac{1}{2}\ \&\ \frac{3}{5}$$

Answer

$$x=-2\ \&\ \frac{5}{3}$$

Question 13

Find the roots: $$2x^2+19=1-20x$$

Accepted Answer

$$x=\left\{-9,-1\right\}$$

Answer

$$x=\left\{1,9\right\}$$

Answer

$$x=\left\{-1,9\right\}$$

Answer

$$x=\left\{-9,1\right\}$$

Question 14

Find the x-intercepts.

$$25x^2+1=5$$

Accepted Answer

$$x=\left\{-\frac{2}{5},\frac{2}{5}\right\}$$

Answer

$$x=\left\{\frac{2}{5}\right\}$$

Answer

$$x=\left\{1,5\right\}$$

Answer

$$x=\left\{-\frac{2}{5}\right\}$$

Question 15

Choose the TWO binomial factors below that would represent the graph in factored form.

Accepted Answer

$$\left(x+1\right)$$

Accepted Answer

$$\left(x-5\right)$$

Answer

$$\left(x-1\right)$$

Answer

$$\left(x+5\right)$$

Question 16

What is the equation of the graph?

Accepted Answer

$$y=x^2+4x$$

Answer

$$y=x^2-4x$$

Answer

$$y=-x^2-4x$$

Answer

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

Question 17

What is the equation of the graph?

Accepted Answer

$$y=-\left(x+2\right)^2+4$$

Answer

$$y=-\left(x-2\right)^2+4$$

Answer

$$y=-\left(x-4\right)^2+2$$

Answer

$$y=-\left(x+4\right)^2+2$$

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