Quiz about Review 6.1 - 6.4

Question 1

What form is this called? $$f\left(x\right)=\left(x+2\right)^2-3$$

Accepted Answer

Vertex Form

Answer

Intercept/Factored Form

Answer

Standard Form

Question 2

What form is this called? $$f\left(x\right)=x^2+6x+9$$

Accepted Answer

Standard Form

Answer

Intercept/Factored Form

Answer

Vertex Form

Question 3

What form is this called? $$f\left(x\right)=\left(x+2\right)\left(x-4\right)$$

Accepted Answer

Intercept/Factored Form

Answer

Vertex Form

Answer

Standard Form

Question 4

Which equation is correct for the parabola shown?

Accepted Answer

$$f\left(x\right)=2x^2-4x-6$$

Accepted Answer

$$f\left(x\right)=2\left(x-1\right)^2-8$$

Accepted Answer

$$f\left(x\right)=2\left(x+1\right)\left(x-3\right)$$

Answer

$$f\left(x\right)=2\left(x-1\right)^2+5$$

Question 5

Consider the function given by $$f\left(x\right)=-\left(x-1\right)\left(x+2\right)$$ .

What are the x-intercepts?

Accepted Answer

(1, 0) & (-2, 0)

Answer

(-1, 0) & (2, 0)

Answer

(-1, 0) & (-2, 0)

Answer

(1, 0) & (2, 0)

Question 6

Consider the function given by $$f\left(x\right)=-\left(x-1\right)\left(x+2\right)$$ .

What is the y-intercept?

Accepted Answer

(0, 2)

Answer

(-2, 0)

Answer

(0, -2)

Answer

(2, 0)

Question 7

Consider the function given by $$f\left(x\right)=-\left(x-1\right)\left(x+2\right)$$ .

Find the vertex of the function.

Accepted Answer

(-0.5, 2.25)

Answer

(-0.5, -2.25)

Answer

(0.5, 2.25)

Answer

(0.5. -2.25)

Question 8

Consider the function given by $$f\left(x\right)=-\left(x-1\right)\left(x+2\right)$$ .

Rewrite it in vertex form.

Accepted Answer

$$f\left(x\right)=\left(x+0.5\right)^2+2.25$$

Answer

$$f\left(x\right)=\left(x-0.5\right)^2+2.25$$

Answer

$$f\left(x\right)=\left(x+0.5\right)^2-2.25$$

Answer

$$f\left(x\right)=\left(x-0.5\right)^2-2.25$$

Question 9

Factor.

$$2x^2+11x+12=0$$

Accepted Answer

x = $$\left\{-4,\ -\frac{3}{2}\right\}$$

Answer

x = $$\left\{4,\ -\frac{3}{2}\right\}$$

Answer

x = $$\left\{-4,\ \frac{3}{2}\right\}$$

Answer

x = $$\left\{4,\ \frac{3}{2}\right\}$$

Question 10

Factor.

$$3x^2+16x-12=0$$

Accepted Answer

x = $$\left\{-6,\ \frac{2}{3}\right\}$$

Answer

x = $$\left\{-6,\ -\frac{2}{3}\right\}$$

Answer

x = $$\left\{6,\ -\frac{2}{3}\right\}$$

Answer

x = $$\left\{6,\ \frac{2}{3}\right\}$$

Question 11

Factor.

$$5x^2-21x+18=0$$

Accepted Answer

x = $$\left\{3,\ \frac{6}{5}\right\}$$

Answer

x = $$\left\{-3,\ -\frac{6}{5}\right\}$$

Answer

x = $$\left\{3,\ -\frac{6}{5}\right\}$$

Answer

x = $$\left\{-3,\ \frac{6}{5}\right\}$$

Question 12

Factor.

$$3x^2+9x-30=0$$

Accepted Answer

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

Answer

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

Answer

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

Answer

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

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