Quiz about Quadratics

Question 1

What is the "formula" for finding the axis of symmetry?

Accepted Answer

$$x=\frac{-b}{2a}$$

Answer

$$y=ax^2+bx+c$$

Answer

$$y=mx+b$$

Answer

$$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$$

Question 2

Find the vertex y = x² - 2x - 5

Accepted Answer

V(1, -6)

Answer

V(-2, 10)

Answer

V(-1, 15)

Answer

V(1, -12)

Question 3

The $$x-value$$ of the vertex is the average or middle of the roots. What would the $$x-value\ $$ of the vertex for this equation be? $$y\ =\ \left(x+8\right)\left(x-2\right)$$ ?

Accepted Answer

$$h\ =\ -3$$

Answer

$$h\ =\ -8$$

Answer

$$h\ =\ 0$$

Answer

$$h\ =\ +2$$

Question 4

You can find the coordinates of the vertex for a quadratic by finding the average (center) of the roots and then plug in that number for $$x$$ and solve for $$y$$ . What are the coordinates of the vertex for this function? $$y=\ \left(x+9\right)\left(x+1\right)$$ ?

Accepted Answer

$$\left(-5,-16\right)$$

Answer

$$\left(5,84\right)$$

Answer

$$\left(-5,\ +16\right)$$

Answer

$$\left(0,9\right)$$

Question 5

You can find the $$y-intercept$$ of a quadratic function by plugging in $$x\ =\ 0$$ and solving for $$y.$$ What are the coordinates of the $$y-intercept$$ for this function? $$y\ =\ \left(x-5\right)\left(x+6\right)$$ ?

Accepted Answer

$$y-int.=\ \left(0,-30\right)$$

Answer

$$y-int.\ =\ \left(0,\ +30\right)$$

Answer

$$y-int.\ =\ \left(0,\ -11\right)$$

Answer

$$y-intercept\ \ =\ \left(0,1\right)$$

Question 6

What are the two $$x-intercepts$$ and the vertex of this factored form quadratic? $$y\ =\ \left(x-7\right)\left(x-1\right)$$ ?

Accepted Answer

$$\left(7,0\right),\left(1,0\right),\ \left(4,-9\right)$$

Answer

$$\left(-7,\ 0\right),\ \left(-1,0\right),\ \left(-4,-9\right)$$

Answer

$$\left(1,0\right),\left(7,0\right),\ \left(0,7\right)$$

Question 7

Which quadratic has roots at x = 2 and x = -2?

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 8

Solve for x

x² = 64

Accepted Answer

x = 8, -8

Answer

x = 32, -32

Answer

x = 4, -4

Answer

No real solution

Question 9

Solve for x

3x² - 27 = 0

Accepted Answer

x = 3, -3

Answer

x = 4.9, -4.9

Answer

x = 9, -9

Answer

No solution

Question 10

Solve for h.
(h - 2)² = 9

Accepted Answer

h = 5, -1

Answer

h = 5, -5

Answer

h = 5

Answer

h = -1

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