Quadratics Transformations and Characteristics

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

Which quadratic is the narrowest graph?

• y = 3x²

• y = 4x²

• y = 2x²

Which quadratic is wider than the graph of y = 4x² + 5?

• y = 4x² + 5

• y = 5x² + 5

• y = 0.25x² + 5

• y = 0.75x²+5

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

• (-4, 0)

• cannot be determined

• (-1, -9)

• (0, -8)

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 statements are true about the quadratic parent function? Select all that apply.

• It has only one x-intercept.

• It opens downward.

• The range is all real numbers.

• The domain is all real numbers.

Tags

CCSS.HSF-IF.C.7A

What is the range of this quadratic function?

• y > -8

• y < -8

• x = all real numbers

• y = all real numbers

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

The graph shown here represents which quadratic function?

Tags

CCSS.HSF-IF.C.7A

• MINIMUM

• MAXIMUM

• CANNOT BE DETERMINED

Tags

CCSS.HSF-IF.C.7A