Graphing Quadratics Transformations

If you describe the transformations of the graph of y=-4\left(x-8\right)^2 from the graph of y=x^2. Which does NOT apply.

• vertically Stretched
  

• Shift right 8 units

• Reflect over x-axis
  

• vertically compressed
  

How can you tell whether a parabola faces up or faces down by looking at the equation?

• The vertex tells you the direction of the opening.

• All parabolas open upward

• The value of the "a" tells you the direction of the opening.

• All parabolas open downward.

Which best describes the vertex of a parabola?

• Any point on the parabola.

• The highest or lowest point on the parabola.

• Any point on the x-axis.

• Any point on the y-axis.

A parabola has a vertex at (-3,2).

What is the axis of symmetry?

• x = 3

• y = 2

• x = -3

• y = -3

Write the equation of the quadratic with a vertex of  (4, 9) that passes through   (7, 6) . The quadratic opens up or down.

A parabola has a vertex at (-3,2).

What is the axis of symmetry?

• y = -2

• x = 3

• x = -3

• y = 2

Determine the domain and range of the function

• Domain: All real numbers

  Range: All real numbers

• Domain: x ≥ -4

  Range: All real numbers

• Domain: All real numbers

  Range: y ≥ -4

• Domain: -1 ≤ x ≤ 5

  Range: y ≥ -4

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

• Reflected across the x-axis

  2 Units Up

• Reflected across the x-axis

  2 Units Down

• Reflected across the y-axis

  2 Units Up

• Reflected across the y-axis

  2 Units Down

How many solutions does this graph have?

• one

• two

• no solutions

• cannot be determined