At Home Part 4 Answers

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

What is the axis of symmetry for the function f(x)=7−4x+x2?

The graph of the function f(x) = (x + 2)(x − 4) is shown.

Which quadratic function is the standard form of the equation shown?f(x) = x + 8 + 2x + 5x2

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

Which point is an x-intercept of the quadratic functionf(x) = (x – 8)(x + 9)?

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

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

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?

Given the function f(x) = −5x2 − x + 20, find f(3).

three

The first three steps in writing f(x) = 40x + 5x2 in vertex form are shown.Write the function in standard form.f(x) = 5x2 + 40xFactor a out of the first two terms.f(x) = 5(x2 + 8x)Form a perfect square trinomial. = 16 f(x) = 5(x2 + 8x + 16) – 5(16)What is the function written in vertex form?

What is the vertex of the graph of the function f(x) = x2 + 8x − 2 ?

The function f(x) = –(x – 3)2 + 9 can be used to represent the area of a rectangle with a perimeter of 12 units, as a function of the length of the rectangle, x. What is the maximum area of the rectangle?

A 2-column table with 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries 3, negative 2, negative 3, 0, 7.

Mary throws a plastic disc to her friend. Her friend catches the disc six seconds after Mary throws it. The table shows the height of the disc at one-second intervals.

On a coordinate plane, a parabola opens down. It has an x-intercept at (negative 5, 0), a vertex at (negative 1, 16), a y-intercept at (0, 15), and an x-intercept at (3, 0).