Quadratic Functions: Vertex Form — Unit test Answers

The graph of the function f(x) = −3x2 − 3x + 6 is shown. Which statements describe the graph? Select three options.

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

The graph of an exponential function and a linear function are shown below. Exponential Linear Which statement is true about the functions?

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

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

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?

The function f(x) = –3x2 + 36x – 119 written in vertex form is f(x) = –3(x – 6)2 – 11. Which statements are true about the graph of f(x)? Select three options.

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?

Consider the quadratic function f(x) = x2 – 5x + 12. Which statements are true about the function and its graph? Select three options.

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

Over which interval does the exponential show a more rapid rate of change?

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).

Which statements are true about the graph of the function h(x) = –5x2 + 60x – 200? Select three options.

Which type of function is represented by the table of values below?xy14216364425651,024

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.