Circles!! (and transformations)

What is the equation of a circle with radius 2 and center (3, 4)?

• (x+3)² + (y+4)² = 2
• (x-3)² + (y-4)² = 2
• (x+3)² + (y+4)² = 4
• (x-3)² + (y-4)² = 4

Tags

CCSS.HSG.GPE.A.1

Which graph corresponds to 
(x-8)²+ (y+2)²=

• A
• B
• C
• D

Tags

CCSS.HSG.GPE.A.1

What is the center for the circle with this equation (x+2)²+(y+3)² = 16?

• (2,3)

• (2,7)

• (-2,-3)

• 4

Determine the equation of a circle with center (5,-3) and radius of 9

• (x+5)²+(y-3)² = 81

• (x-5)²+(y+3)² = 9

• (x+3)²+(y-5)² = 81

• (x-5)²+(y+3)² = 81

Which equation is an absolute value graph shifted right 5 units and down 3?

• y = |x - 5| + 3

• y = |x - 5| - 3

• y = |x-3| + 5

• y = -5|x| - 3

• shift right 8, flip over x-axis

• shift left 8, flip over x-axis

• shift right 8

• flips and moves down 8

Which of the following parent function is portrayed in the graph?

• y = x²; quadratic

• y = |x|; absolute value

• y = (1)(2)^x; exponential

• y = 1 / x ; hyperbolic

Which of the following parent graphs is portrayed in the graph?

• y = x²; quadratic

• y = x³; cubic

• y = |x| ; absolute value

• y = 1 / x ; hyperbolic

Describe the differences in the two functions.

f(x) = (1)(2)^x and g(x) = (4)(2)^x

• g(x) has a vertical stretch of 4

• g(x) has a vertical compression of 4

• g(x) has moved 4 units right

• g(x) has moved 4 units up

Which of the following represents an exponential function moved right 5 units and down 2 units?

• y = (1)(2)^x+5 - 2

• y = (1)(2)^x-5 + 2

• y = (1)(2)^x-5 - 2

• y = (1)(2)^x-2 +5