Home > CCA2 > Chapter 10 > Lesson 10.1.1 > Problem10-11

10-11.

Graph each of the following functions and label the $x$- and $y$-intercepts.

1. $f(x)=3(x-4)^2-5$

The vertex of this parabola is at $(4, -5)$.
Make a table to accurately sketch the graph.

To find the $x$-intercepts, solve the equation
$0 = 3(x - 4)^2 - 5$.
To find the $y$-intercept, solve the equation
$y = 3(0 - 4)^2 - 5$.
1. $g(x) = 2x^2 - 3x - 5$
$\text{The }x\text{-coordinate of the vertex of this parabola}$
$\text{is at }x=-\frac{b}{2a}.$