Describing Quadratic Functions Transformation

The graph of f\left(x\right)=x^2 was transformed to create the graph of g\left(x\right)=2x^2-5. Which of the following statements are true? Select TWO correct answers.

• The graph of h will be narrower than the graph of g.

• The graph of h will be wider than the graph of g.

• The vertex of the graph of h is 5 units to the right of the vertex of graph g.

• The vertex of the graph of h is 5 units below the vertex of graph g.

• The y-intercept of the graph of h is 5 units above the vertex of the graph g.

Tags

A.7C

The graph shows the height in feet of an object above the ground t seconds after it was launched from the ground. Which function is best represented by the graph of this situation?

• A horizontal shift to the right 7.5 units.

• A horizontal shift to the left 7.5 units.

• A vertical shift down 56.25 units.

• A vertical shift up 56.25 units.

Tags

A.7C

Describe the transformation from the parent graph

• Reflect over x, right 3, down 4

• Reflect over y, right 3, down 4

• Reflect over x, right 3, up 4

• Reflect over y, left 3, down 4

• Reflection over x-axis

• None of these

Match the equation to its description.

• Reflected over x-axis and shifted up 4

• Reflected over x-axis and shifted down 4

• Reflected over x-axis and shifted right 4

• Reflected over x-axis and shifted left 4

• Graph gets narrow

• Graph gets wider

• Graph shifts to the left

• Graph shifts to the right

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