Math 2 Quadratics Test 2 Review

What is the equation of this graph?

• f(x) = (x -5)² + 1

• f(x) = (x - 1)² - 5

• f(x) = (x + 1)² - 5

• f(x) = (x + 5)² +1

Tags

CCSS.HSF-IF.C.7A

Describe the transformations of f(x) when compared to the parent function.

f(x)=x²+5

• horizontal shift right 5 units

• horizontal shift left 5 units

• vertical shift up 5 units

• vertical shift down 5 units

Solve by factoring: x² + 3x - 18 = 0

• x = -3 and x = 6

• x = 3 and x = -6

• x = -9 and x = 2

• x = 9 and x = -2

Tags

CCSS.HSA-REI.B.4B

Factor out the GCF:

10x³ - 15x

• x(10x² - 15)

• 5x(2x² - 3)

• 5(2x³ - 3x)

• 5x²(10x - 3)

What is the axis of symmetry of the given function?

• y = 1

• y = -1

• x = 1

• x = -1

What would the equation for the new quadratic function be if it was vertically shifted up 3 units from the function f(x)=4x²+2?

• g(x)=x²+3

• g(x)=7x²+2

• g(x)=4x²+3

• g(x)=4x²+5

What is the axis of symmetry?

y = 3x² - 6x + 4

• x=1

• x=-6

• x=2

• x=-1

What is the vertex of the equation?

y = (x-3)²+5

• (-3, 5)

• (3, 5)

• (-3, -5)

• (3, -5)

What is the equation of the quadratic function obtained from vertically compressing the parent function by 3/5 and then shifted up 8 units?

• f(x)= 3/5(x-8)²

• f(x)=3/5x²+8

• f(x)=x²

• f(x)=3/5x²-8

Which transformation transforms the graph of f(x) = x² to the graph of g(x)=(x+4)²?

• a vertical shift 4 units up

• a vertical shift 4 units down

• a horizontal shift 4 units to the left

• a horizontal shift 4 units to the right