Unit 6 Review

Identify the transformations.

• Vertical Stretch

• Vertical Compression

• Up 9

• Down 9

Answer explanation

When a is great than 1, it is a vertical stretch. When d is negative, the function goes down.

Tags

CCSS.HSF.BF.B.3

Identify the equation by the given description.

The square root parent function is horizontally reflected, then translated so that it has an endpoint located at (0, 2).

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Answer explanation

Horizontal reflections affects the b-value. Endpoint givens c- and d-values.

Tags

CCSS.HSF.BF.B.3

Identify the equation by the given description.

The cube root parent function is reflected across the x-axis, vertically stretched by a factor of 3 then translated 8 units down.

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Answer explanation

Vertical reflections and stretches affect the a-value. Vertical translations affect the d-value.

Tags

CCSS.HSF.BF.B.3

Graph the function and identify the domain.

• $\left(-\infty,\infty\right)$

• $\left[0,\infty\right)$

• $\left(-\infty,0\right]$

• $\left[-4,\infty\right)$

Answer explanation

Domain is the set of x-values that can be used by the given function.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Graph the function and identify the range.

• $\left(-\infty,\infty\right)$

• $\left[0,\infty\right)$

• $\left(-\infty,0\right]$

• $\left[-4,\infty\right)$

Answer explanation

Range is the set of y-values used by the given function.

What function best describes this graph?

• f(x)= -√(x+4) -2
• f(x)= √(x-4) -2
• f(x)= -√(x-4) -2
• f(x)= √(x+4) +2

Tags

CCSS.HSF-IF.C.7B

• y = 2 √(x) - 4
• y = - √(x - 4)
• y = 2 √(x)
• y = 2 √(x) + 4

Tags

CCSS.HSF-IF.C.7B

Solve the equation. Check for extraneous solutions.

• x = 45

• x = 1/2

• x = 75

• No solution

Answer explanation

Isolate the radical. Square both sides. Solve for x.

Tags

CCSS.HSA.REI.A.2

Solve the equation. Check for extraneous solutions.

• x = 1.75

• x = 208

• x = 13

• No solution

Answer explanation

Convert the rational exponent into radical form. Isolate the radical. Square both sides. Solve for x.

Tags

CCSS.HSA.REI.A.2

Solve the equation. Check for extraneous solutions.

• x = -4

• x = 3

• x = -4 and x = 3 is extraneous

• x = 3 and x = -4 is extraneous

Answer explanation

Convert the rational exponent into radical form. Isolate the radical. Square both sides. Solve for x using factoring, graphing, or Quadratic Formula. Check solutions.

Tags

CCSS.HSA.REI.A.2