Parabolas Transformation

Which of the following equations best fits the graphs of the transformed function shown in red?

Which of the equations below would most likely to fit the graph shown in red?

Tags

CCSS.HSF-IF.C.7A

• Perfect

• A Pentagon

• A Parabola

• A Parallelogram

Tags

CCSS.HSF-IF.C.7A

What transformation happens here: y = (x - 5)² - 3?

• The graph is shifted to the right 5 units and down 3 units

• The graph is shifted right 3 units and down 5 units

• The graph is shifted left 5 units and down 3 units

• The graph is shifted left 3 units and up 5 units

What transformations are occurring to the following quadratic y = -x²+3

• left 3

• reflects across x axis, down 3

• reflects across x axis, up 3

When you add a constant to y=x² what happens to the graph? For example: y = x² + 1

• Graph moves UP

• Graph moves to the RIGHT

• Graph moves DOWN

• Graph moves to the LEFT

State the turning point (vertex) for the equation:
y = -(x + 1)² + 4

• (1, -4)

• (-1, 4)

• (-4, 1)

• (4, -1)

State the vertex for the equation:
y = (x - 6)² - 4

• (6, -4)

• (6, 4)

• (-6, 4)

• (-6, -4)

State the vertex for the equation:
y = 2(x + 4)² + 3

• (-4, -3)

• (-8, 6)

• (-4, 3)

• (4, 3)

Given f(x) = -x² , how did we transform from the parent function?

• Horizontal shift left

• Reflection over the x-axis

• Vertical shift down

• Vertical compression