Algebra Quadratic Transformations

The graph of f (X) = x² was transformed to create the graph of g (X) = f (X) − 9. Which statement about the graphs is true?

• The graph of g is a reflection of the graph of f across the x-axis

• The vertex of the graph of g is 9 units to the right of the vertex of the graph of f.

• The graph of g is a reflection of the graph of f across the y-axis

• The y-intercept of the graph of g is 9 units below the y-intercept of the graph of f

The graph of quadratic function p is shown on the grid. If k(x) = x² and p (x) = k (x) + n, what is the value of n?

• 6

• -6

• 5

• -5

The graph of g (x) = x² was transformed to create the graph of h (x) = − (x/4)² . Which of these describes the transformation from the graph of g to the graph of h?

• A reflection over the x-axis and a horizontal stretch

• A reflection over the y-axis and a horizontal stretch

• A reflection over the x-axis and a vertical stretch

• A reflection over the y-axis and a vertical stretch

The graph of f (x) = x² is transformed to create the graph of h (x) = 2f(x). Which graph best represents f and h?

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Which parent function is the graph presenting?

• linear

• quadratic

• cubic

• exponential

Which transformation occurred from graph A to graph B?

• reflection over the x axis

• shifted 1 unit down

• vertical compress

• vertical stretch

Which transformation occurred from graph A to graph B? (Choose 2)

• reflection over the x axis

• shifted left 3 units

• shifted up 3 units

• vertical stretch

The lowest or highest point on a graph is called?

• vertex

• x-intercept

• axis of symmetry

• y-intercept

What is that dashed line called?

• axis of symmetry

• x-intercept

• slope

• y-intercept

Does this graph have a maximum or minimum value?

• maximum

• minimum

• neither

• both