Chapter 8 Unit TEST: Graphing Quadratic Equations Answers

Giselle graphs the function f(x) = x2. Robin graphs the function g(x) = –x2. How does Robin’s graph relate to Giselle’s?

Gerald graphs the function f(x) = (x – 3)2 – 1. Which statements are true about the graph? Select three options.

Which of the following best describes how the y values are changing over each interval?xy122438416532

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

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

On a coordinate plane, a parabola opens up. It goes through (negative 3.25, 5), has a vertex of (1.75, negative 2.75), and goes through (6.25, 5). Solid circles appear on the parabola at (negative 3, 4), (0, negative 2), (1.75, negative 2.75), (3, negative 2), (6, 4).

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?

What is the range of the function f(x) = −(x + 3)2 + 7?

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

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)?

Consider the quadratic function f(x) = x2 – 8x – 4. What is the value of the leading coefficient?

Which rule can be used to describe the growth of the y-values of the function over each interval from to ?

The function f(x) = x2 is translated 7 units to the left and 3 units down to form the function g(x). Which represents g(x)?

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