Quadratic Functions: Vertex Form Answers

Which best describes the transformation from the graph of f(x) = x2 to the graph of f(x) = (x – 3)2 – 1?

What is the axis of symmetry and vertex for the function f(x) = 3(x – 2)2 + 4?

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The parent function of the function g(x) = (x – h)2 + k is f(x) = x2. The vertex of the function g(x) is located at (9, –8). What are the values of h and k?

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Which graph represents f(x) = (x + 2)2 – 3?

What is the equation of the translated function?

Consider the graph of the function f(x) = 2(x + 3)2 + 2. Over which interval is the graph decreasing?

Which are characteristics of the graph of the function f(x) = (x + 1)2 + 2? Check all that apply.The domain is all real numbers. The range is all real numbers greater than or equal to 1.The y-intercept is 3.The graph of the function is 1 unit up and 2 units to the left from the graph of y = x2.The graph has two x-intercepts.

Justine graphs the function f(x) = (x – 7)2 – 1. On the same grid, she graphs the function g(x) = (x + 6)2 – 3. Which transformation will map f(x) on to g(x)?

The parent function of the function g(x) = (x – h)2 + k is f(x) = x2. The vertex of the function g(x) is located at (9, –8). What are the values of h and k?