Quadratic Functions: Vertex Form — Unit test Answers

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

The step function g(x) is defined as shown.g(x) = What is the range of g(x)?

Which describes the range of the parent absolute value function?

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

The function f(x) is shown on the graph.

The graph of f(x) = |x| is transformed to g(x) = |x + 1| – 7. On which interval is the function decreasing?

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).

The graph represents the cost of catering a dinner as a function of the number of guests.

Which times and distances are represented by the function? Select three options.

The function f(x)= – is shown on the graph.

The graph shows a vertical translation of y = .

What is the vertex of the graph of f(x) = |x + 3| + 7?

The function g(x) is defined as shown.

Gerald graphs the function f(x) = (x – 3)2 – 1. Which statements are true about the graph? Select three options.The domain is {x| x ≥ 3}.The range is {y| y ≥ –1}.The function decreases over the interval (–∞, 3).The axis of symmetry is x = –1.The vertex is (3, –1).