College Algebra Ch. 2 Review

What is the equation of the circle, with center (-4,5) and radius 6 units?

• (x - 4)^2 + (y + 5)^2 = 6

• (x - 4)^2 + (y + 5)^2 = 36

• (x + 4)^2 + (y - 5)^2 = 6

• (x + 4)^2 + (y - 5)^2 = 36

Tags

CCSS.HSG.GPE.A.1

p(x) = 3x + 4
q(x) = 2x²
Find q(p(-2))

• 8
• -8
• 28
• None of these.

Tags

CCSS.HSF-BF.A.1C

Is the function even, odd, or neither?

f(x) = x⁴ + x²

• Even

• Odd

• Neither

Tags

CCSS.HSF.BF.B.3

Write the center-radius form of the circle:

x² + y² +10y = 39

• x² + (y+5)² = 49

• x² + (y+5)² = 64

• (x+5)² + y² = 61

• (x+5)² + y² = 100

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

Write an equation for a line perpendicular to
y = -5x + 3 through (-5, -4)

• y = -3x + 1/5
• y = -3x - 1/5
• y = 1/5x - 3
• y = -1/5x - 3

Tags

CCSS.HSA.CED.A.2

CCSS.HSG.GPE.B.5

f(x)=x²+1
g(x)=2x-5
Find f(x)-g(x)

• x²-2x+6
• -x²+2x+4
• -x²-2x-6
• x²-2x-4

Tags

CCSS.HSF-BF.A.1B

What is the vertex of the following quadratic function
f(x) = 1∕2(x - 2)² + 5

• (-2, -5)
• (2, 5)
• (-2, 5)
• (2, -5)

Tags

CCSS.HSA.SSE.A.2

Write the equation of the transformed graph. 

• f(x) = ∣x - 3∣ - 2
• f(x) = -∣x + 3∣ + 2
• f(x) = -∣x - 3∣ - 2
• f(x) = ∣x + 3∣ + 2

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

 $p(x)=3x+4$  
 $q\left(x\right)=2x^2$  
Find $p\ \circ\ q\ \left(x\right)\ \$  

• 10x²

• 18x² + 4

• 6x² + 4

Where is the function increasing?

• (4, ∞)
• (−4, ∞)
• (6, ∞)
• 4 < x < 6

Tags

CCSS.HSF-IF.C.7A