Graphing Quadratic Equations with Transformations

Based on this graph, what is the axis of symmetry?

• x=-4

• y=-4

• x=-3

• y=-3

Tags

CCSS.HSF-IF.C.7A

Based on the graph, what are the roots?

• x=-2 and x=0

• x=0

• y=0

• (-1,1)

• The parabola translated 1 unit to the right and 3 units down.

• The parabola translated 1 unit to the left and 3 units up.

• The parabola translated 1 unit down and 3 units to the left.

• The parabola translated 1 unit up and 3 units to the right.

• The parabola reflected over the x-axis and translated 1 unit up.

• The parabola reflected over the x-axis and translated 1 unit down.

• The parabola had a vertical dilation that stretches down and translated 1 unit up.

• The parabola has a vertical dilation that stretches up and translated 1 unit down.

• It is shifted 2 units to the left.

• It is shifted 2 units to the right.

• It is shifted 2 units up.

• It is shifted 2 units down.

The graph shows the function f(x)=x² in blue and another function g(x) in red.  Which could be the equation for g(x)?

• g(x)=3x²

• g(x)=1/3x²

• g(x) = x² - 3

• g(x) = (x-3)²

The graph shows the function f(x)=x² in blue and another function g(x) in red.  Which could be the equation for g(x)?

• g(x) = 2x²

• g(x) = 1/2x²

• g(x) = x² + 2

• g(x) = (x + 2)²

• It is reflected across the x-axis.

• It is reflected across the y-axis.

• It is shifted upwards.

• It is shifted downwards.

• It is reflected across the x-axis.

• It is reflected across the y-axis.

• It is shifted upwards.

• It is shifted downwards.

The graph shows the function f(x)=x² in blue and another function g(x) in red.  Which could be the equation for g(x)?

• g(x)=3x²

• g(x)=1/3x²

• g(x) = x² - 3

• g(x) = (x-3)²