Transformation of Quadratic Functions

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 horizontally shifted right 1 unit  from the function f(x)=x²+4?

• g(x)=x²+5

• g(x)=(x+1)²+4

• g(x)=(x-1)²+4

• g(x)=x²+3

If the yellow curve has equation f(x)=x²,

• Then the blue curve is f(x) = x² - c

• Then the blue curve is f(x) = (x+c)²

• Then the blue curve is f(x) = (x-c)²

• Then the blue curve is f(x) = x² + c

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)=x²+5

• horizontal shift right 5 units

• horizontal shift left 5 units

• vertical shift up 5 units

• vertical shift down 5 units

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 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 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

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