Transformations Quadratics Big Ideas

Which function has a translation of 7 units down and reflects over the x-axis?

• f(x) = -(x - 7)² + 1

• f(x) = (x + 7)² + 1

• f(x) = -(x - 1)² - 7

• f(x) = (x + 1)² - 7

What is the vertex of the following equation:
y=-3(x-2)² - 4?

• (-2,-4)

• (2,-4)

• (3,-4)

• (2,4)

Which graph will have the farthest vertical shift away from the quadratic parent function?

• g(x) = -x² + 9

• g(x) = 5x² + 1

• g(x) = 0.2x² - 11

• g(x) = -3x² - 6

Based on this table of values of a quadratic function, what is the VERTEX?

• (-4, 0)

• cannot be determined

• (-1, -9)

• (0, -8)

Using the graph of y = -1.5x² + 12x - 23 shown here, what are the values of x when y = -5?

• x = 4

• x = 2, 6

• x = 3.2, 4.8

• cannot be determined on the graph

Describe the transformations from f(x) = x² to g(x) = -0.3x² + 4

• vertical compression and shift up

• reflection over x-axis, vertical compression, and shift up

• reflection over x-axis, vertical stretch, and shift up

• vertical stretch and shift down

Which graph will be the most vertically stretched compared to the quadratic parent function?

• g(x) = -x² + 9

• g(x) = 5x² + 1

• g(x) = 0.2x² - 11

• g(x) = -3x² - 6

The graph shown here represents which quadratic function?

Tags

CCSS.HSF-IF.C.7A

If a quadratic equation has 2 solutions, they will be equal distance from the axis of symmetry.

• TRUE

• FALSE

Tags

CCSS.HSF-IF.C.7A