Modeling with Quadratic Functions — Unit test Answers

Which statements are true about the graph of the function h(x) = –5x2 + 60x – 200? Select three options.The axis of symmetry is the line x = –6.The graph of h(x) will not intersect the graph of the parent function, f(x) = x2.The vertex of the graph is at (6, –20).The parabola has a maximum.The value of k, when the equation is written in vertex form, is –200.

What is the y-value of the vertex of the function f(x)=−(x−3)(x+11)?

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Which translation maps the vertex of the graph of the function f(x) = x2 onto the vertex of the function g(x) = x2 – 10x +2?

Which function has a vertex on the y-axis?

The graph of the function f(x) = (x + 2)(x − 4) is shown.

Which translation maps the graph of the function f(x) = x2 onto the function g(x) = x2 − 6x + 6?

The function g(x) is a translation of f(x) = (x + 3)2 – 10. The axis of symmetry of g(x) is 5 units to the right of f(x) . Which function could be g(x)?

Which is the graph of the function f(x) = x2 + 2x + 3?

The function f(x) = –x2 – 4x + 5 is shown on the graph.

A boy throws a baseball across a field. The ball reaches its maximum height, 18 meters, after 1 second. After approximately 2.3 seconds, the ball lands on the ground. The ball’s motion can be modeled using the function f(x) = –10x2 + 20x + 8. What is the height of the ball 1.5 seconds after it is thrown?

On a coordinate plane, a parabola opens up. It goes through (negative 3.25, 5), has a vertex of (1.7, negative 2.75), and goes through (6.25, 5). Solid circles appear on the parabola at (negative 3, 4), (0, negative 2), (1.5, negative 2.75), (3, negative 2), (6, 4).

What are the x-intercepts of the graph of the function f(x) = x2 + 5x − 36?