Analyzing Functional Relationships — Unit test Answers

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

f(x) = 2x – 1g(x) = 7x – 12What is h(x) = f(x) + g(x)?

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

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)?

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

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).

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

Which function has a vertex on the y-axis?

The steps in writing f(x)=18x+3x2 in vertex form are shown, but a value is missing in the last step.Write the function in standard form. Factor a out of the first two terms. f(x)=3(x2+6x)Form a perfect square trinomial. f(x)=3(x2+6x+9)−3(9) Write the trinomial as a binomial squared. f(x)=3(x+___)2−27

The dimensions of a triangle are represented by the functions shown.

The number of rows in an auditorium can be represented by the function f(x) = 80x.The number of seats in each row can be represented by the function g(x) = x + 7.Which function represents the total number of seats, h(x) = f(x)g(x)?

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

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

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

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