TEKS A.7C: Quadratic Transformations

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?

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?

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?

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?

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?

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?