Quiz about Review 1 Midterm Algebra II

Question 1

Given the exponential function

$$f\left(x\right)=-2\left(4^x\right)+5$$ identify the y-intercept.

Accepted Answer

$$\left(0,3\right)$$

Answer

$$\left(0,-2\right)$$

Answer

$$\left(0,5\right)$$

Answer

$$\left(0,4\right)$$

Question 2

Describe the transformation below: $$-3\left(x+4\right)^2-1$$

Accepted Answer

reflect over the x-axis, stretch by 3, left: 4, down: 1

Answer

stretch by 3, right: 4, down: 1

Answer

reflect over the x-axis, right: 4, down: 1

Answer

stretch by 4, down: 3, left: 1

Question 3

Given the exponential function

$$f\left(x\right)=-2\left(4^x\right)+5$$ identify the end behavior.

Accepted Answer

As $$x\rightarrow\infty,\ f\left(x\right)\rightarrow-\infty$$ and as $$x\rightarrow-\infty,\ f\left(x\right)\rightarrow5$$

Answer

As $$x\rightarrow\infty,\ f\left(x\right)\rightarrow\infty$$ and as $$x\rightarrow-\infty,\ f\left(x\right)\rightarrow5$$

Answer

As $$x\rightarrow\infty,\ f\left(x\right)\rightarrow5$$ and as $$x\rightarrow-\infty,\ f\left(x\right)\rightarrow\infty$$

Answer

As $$x\rightarrow\infty,\ f\left(x\right)\rightarrow5$$ and as $$x\rightarrow-\infty,\ f\left(x\right)\rightarrow-\infty$$

Question 4

Given the exponential function

$$f\left(x\right)=2\left(\frac{1}{2}\right)^x+3$$ identify the domain.

Accepted Answer

$$\left(-\infty,\infty\right)$$

Answer

$$\left(-\infty,3\right)$$

Answer

$$\left(3,\infty\right)$$

Answer

$$\left(\frac{1}{2},\ \infty\right)$$

Question 5

What is the Vertex?

$$y=-\left(x-4\right)^2-1$$

Accepted Answer

( 4, -1)

Answer

( -4, -1)

Answer

( 1, -4)

Answer

( -1, -4)

Question 6

Given the exponential function

$$f\left(x\right)=4\left(\frac{1}{2}\right)^{x\ }+3$$ identify the asymptote.

Accepted Answer

$$y=3$$

Answer

$$y=7$$

Answer

$$y=4$$

Answer

$$y=1$$

Question 7

Axis of Symmetry?

$$y=-\left(x-4\right)^2-1$$

Accepted Answer

x = 4

Answer

x = -1

Answer

x = 1

Answer

x = -4

Question 8

Tammy solved the equation $$x^2-x-12=0$$
Select the factors of $$x^2-x-12$$

Accepted Answer

(x+3)(x-4)

Answer

(x+3)(x+4)

Answer

(x-3)(x-4)

Answer

(x+6)(x-2)

Answer

(x-6)(x+2)

Question 9

Simplify:
(7 + 2i)(9 - 6i)

Accepted Answer

75-24i

Answer

63 - 24i - 12i²

Answer

51 - 24i

Answer

58 + 60i

Question 10

What are the x intercepts of: $$y=\left(3x-5\right)\left(x+2\right)$$

Accepted Answer

(5/3, 0) and (-2,0)

Answer

(5,0) and (-2,0)

Answer

(-5,0) and (2,0)

Answer

(3,0) and (-2,0)

Question 11

(4 - 2i) - (3 + 6i)

Accepted Answer

1 - 8i

Answer

7 - 4i

Answer

1 + 4i

Answer

7 - 8i

Question 12

Solve By Square Roots:

$$5m^2-3=127$$

Accepted Answer

$$\pm\sqrt{26}$$

Answer

$$\sqrt{26}$$

Answer

26

Answer

$$\pm26$$

Question 13

What is the vertex of the function?

Accepted Answer

(-3, -16)

Answer

(3, 20)

Answer

(-6, -7)

Answer

(0, -7)

Question 14

$$\left(2x-1\right)\left(3x+4\right)$$

Find the equivalent expression.

Accepted Answer

$$6x^2+5x-4$$

Answer

$$6x^2-5x-4$$

Answer

$$6x+11x+4$$

Answer

$$6x+5x-4$$

Answer

$$6x^2-11x-4$$

Question 15

Solve By Factoring:

$$x^2-4x-5=0$$

Accepted Answer

5, -1

Answer

1, -5

Answer

-5, -1

Answer

1, 5

Question 16

Solve by the Quadratic Formula:

$$9u^2-11u+7=0$$

Accepted Answer

$$\frac{11\pm\sqrt{131}}{18}$$

Answer

$$\frac{-11\pm\sqrt{131}}{18}$$

Answer

$$\frac{11\pm\sqrt{131}}{-18}$$

Answer

$$\frac{11\pm i\sqrt{373}}{18}$$

Question 17

Question 17.

Accepted Answer

x + 5

Answer

x + 5 + (2/2x - 4)

Answer

x - 8

Answer

x - 5 + (3/2x - 4)

Question 18

Find a polynomial function of degree 3 with zeros 3i and -2.

Accepted Answer

P(x) = x³+2x²+9x+18

Answer

P(x) = x³+2x²+9x+11

Answer

P(x) = x³-2x²+9x+18

Answer

P(x) = x²-3ix+2x-6i

Review 1 Midterm Algebra II

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