HSF.IF.C.7.a Tutor Intake — Graphing Linear and Quadratic Functions

The linear function $f(x) = 3x - 6$ is given in slope-intercept form.

Which of the following correctly identifies BOTH intercepts?

The function $f(x) = -2(x - 3)^2 + 8$ is written in vertex form
$y = a(x - h)^2 + k$.

What is the vertex of this parabola?

For the quadratic function $f(x) = -5x^2 + 20x - 3$, does the vertex
represent a maximum or a minimum? Identify which part of the function
tells you, and explain how you know.

The equation $2x + 5y = 10$ represents a linear function written in
standard form.

Find the x-intercept by setting $y = 0$ and solving for $x$.
Enter the x-coordinate of the x-intercept.

For the quadratic function $f(x) = x^2 - 6x + 5$, the axis of
symmetry is given by $x = -\dfrac{b}{2a}$.

What is the x-coordinate of the vertex?

For $f(x) = x^2 - 6x + 5$, you found the axis of symmetry is $x = 3$.

Substitute $x = 3$ into $f(x)$ to find the y-coordinate of the vertex.
Enter the y-coordinate of the vertex.

The function $g(x) = 2(x + 1)(x - 5)$ is in factored form.

The x-intercepts are read directly from the factors.
Enter the x-coordinate of the axis of symmetry (midpoint of the two roots).

The function $f(x) = -2(x - 3)^2 + 8$ is in vertex form.

Find the y-intercept by evaluating $f(0)$.
Enter the y-coordinate of the y-intercept.