Transformation of Quadratic Functions

If given the equation y = 3(x + 5)² - 4, what is the vertex of the parabola?

• (5, -4)

• (-5, -4)

• (-15, -4)

• (15, -4)

Identify the vertex and whether the graph opens up or down.

• (-1, 4); opens up

• (-1, 4); opens down

• (1, 4); opens up

• (1, 4); opens down

Which quadratic function is represented by the graph?

• y = 2(x - 4)² + 5

• y = 2(x + 4)² + 5

• y = -2(x - 4)² + 5

• y = -2(x + 4)² + 5

Tags

CCSS.HSF-IF.C.7A

Identify the vertex and whether the graph opens up or down.

• (5, 2); opens up

• (5, 2); opens down

• (-5, 2); opens up

• (-5, 2); opens down

What is the domain of the graph?

• x≤4

• x>4

• x>0

• all real numbers

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

In the equation f(x)=5(x+3)²-10 what effect does the 5 do when compared to the parent function?

• Vertical stretch by a factor of 5

• Vertical compress by a factor of 5

• Reflect over x-axis

• Vertical shift up 5 units

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

Which of the following describes the transformations done to the quadratic parent function of f(x) = x² to obtain g(x) = 2x² + 4 ?

• Vertical Stretch by a factor of 2 and vertical shift up 4 units

• Vertical Compress by a factor 2 and vertical shift up 4

• Vertical Stretch by a factor of 2 and horizontal shift left 4 units

• Vertical Compress by a factor of 2 and horizontal shift right 4 units

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

What is the equation of the quadratic function obtained from horizontally shifting the parent function 17 units left and then reflecting across the x-axis?

• f(x)= -x²-17

• f(x)= -(x-17)²

• f(x)= -(x+17)²

• f(x)= -x²+17