Modeling with Quadratic Functions — Unit test Answers

What is the y-value of the vertex of the function f(x)=−(x+8)(x−14)?

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)?

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

Consider the quadratic function f(x) = x2 – 5x + 12. Which statements are true about the function and its graph? Select three options.The value of f(–10) = 82The graph of the function is a parabola.The graph of the function opens down.The graph contains the point (20, –8).The graph contains the point (0, 0).

Which equation, when graphed, has x-intercepts at (8, 0) and (−2, 0) and a y-intercept at (0, −48)?

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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?

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?

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

The image shows a geometric representation of the function f(x) = x2 + 2x + 3 written in standard form.

The curve produced by the water coming from a fountain is sketched on the graph.

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

Jan'ai was asked to determine the minimum for a function with zeros located at –1 and 5, which also has a y-intercept of (0, –25). Her work is shown.Which best describes the first error in Jan'ai's work?

Given the function f(x) = −2x2 + 4x − 7, find f(−4).

All-Star Trinkets estimates its monthly profits using a quadratic function. The table shows the total profit as a function of the number of trinkets produced.