Quadratic Function and Transformation

The vertex of the quadratic function f(x) in the picture is (-4, 5). If g(x) = f(x + 2) , what is the vertex of g(x)?

• (-2, 5)

• (-6, 5)

• (-4, 3)

• (-4, 7)

Which describes the transformation of the graph of f(x)=x²+2 to the graph of g(x)=(-3x)²+2

• A horizontal compression without reflection

• A horizontal stretch without reflection.

• A vertical compression without reflection

• A vertical stretch and a translation

Describe the transformations of f(x) when compared to the parent function.
f(x)=(x+7)²

• horizontal shift left 7 units

• horizontal shift right 7 units

• vertical shift up 7 units

• vertical shift down 7 units

Describe the transformation of
f(x) = x² -8 when compared to the parent function

• Vertical shift sp 8 units

• Vertical shift down 8 units

• Horizontal shift right 8 units

• Horizontal shift left 8 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 vertically stretching the parent function by a factor of 2 and then vertically shifting up 3 units?

• f(x)= 2(x-3)²

• f(x)= 2(x+3)²

• f(x)= 2x²+3

• f(x)= (x-2)²+3

What is the equation of the quadratic function obtained from vertically compressing the parent function by a factor of 0.5 and then reflecting across the x-axis?

• f(x)= 0.5x²

• f(x)= -0.5x²

• f(x)= -(x-0.5)²

• f(x)= x²+0.5

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 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

What is the horizontal shift of this equation?
y = -(x + 3)² - 5

• left 3

• right 3

• left 5

• right 5