Free Printable TEKS A.7C: Quadratic Transformations

Worksheets

TEKS A.7C: Quadratic Transformations

Total questions: 10

Worksheet time: 38mins

Name

Class

Date

The graph of f(x) = $x^2$ is reflected over the x-axis and is stretched horizontally to create the graph of function g. Which graph could represent g?

The graph of f(x) = $x^2$ was translated 4.5 units to the left to create the graph of function g. Which function represents g?

F.) g(x) = $\left(x\ -\ 4.5\right)^2$

G.) g(x) = $\left(x\ +\ 4.5\right)^2$

H.) g(x) = x²- 4.5

J.) g(x) = x² + 4.5

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

The graph of quadratic parent function f was transformed to create the graph of g(x) = f(x + 2) - 5. Which graph best represents g?

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?

A.) The graph of g is a reflection of the graph of f across the x-axis.

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

C.) The graph of g is a reflection of the graph of f across the y-axis.

D.) 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?

(a)

The graph of g(x) = x² was transformed to create the graph of h(x) = $-\left(\frac{x}{4}\right)^2$ . Which of these describes the transformation from the graph of g to the graph of h?

F.) A reflection over the x-axis and a horizontal stretch

G.) A reflection over the y-axis and a horizontal stretch

H.) A reflection over the x-axis and a vertical stretch

J.) A reflection over the y-axis and a vertical stretch

Quadratic functions q and w are graphed on the same coordinate grid. The vertex of the graph of q is 18 units below the vertex of the graph of w. Which pair of functions could have been used to create the graphs of q and w?

A.) q(x) = 18x²and w(x) = x²

B.) q(x) = x² + 18 and w(x) = x²

C.) q(x) = -18x² and w(x) = x²

D.) x² - 18 and w(x) = x²

The graph of f(x) = x² was transformed to create the graph of g(x) = (x - 7.5)². Which of these describes this transformation?

F.) A horizontal shift to the right 7.5 units.

G.) A horizontal shift to the left 7.5 units.

H.) A vertical shift down 56.25 units.

J.) A vertical shift up 56.25 units.

10.

Function p is in the form y = ax² + c. If the values of a and c are both less than 0, which graph could represent p?