Lesson 3 Well, What Do You Know? Develop Understanding

Ready

1.

Fill in the table of values for $y = x^{2}$ .

$x$	$x^{2}$
$- 4$
$- 3$
$- 2$
$- 1$
$0$
$1$
$2$
$3$
$4$

Add a 3rd column to the table given. In this column, put the values for $y = x^{2} + 3$ .

How would the graph of $y = x^{2} + 3$ be different from the graph of $y = x^{2}$ ?

Add a 4th column to the table. In this column put the values for $y = 2 x^{2}$ .

How would the graph of $y = 2 x^{2}$ be different from the graph of $y = x^{2}$ ?

Add a 5th column to the table. In this column put the values for $y = - x^{2}$ .

How would the graph of $y = - x^{2}$ be different from the graph of $y = x^{2}$ ?

2.

Use the grid below to graph $y = x^{2}$

Set

3.

What is the $y$ -intercept of the function $f (x) = 3 x^{2} - 11 x - 22$ ?

Describe your method for finding your answer.

4.

What is the $y$ -intercept of the function $f (x) = (x + 7) (x - 13)$ ?

Describe your method for finding your answer.

5.

What are the $x$ -intercepts of the function $f (x) = (x + 7) (x - 13)$ ?

Describe your method for finding your answer.

6.

What is the equation of the line of symmetry of the function $f (x) = (x + 7) (x - 13)$ ?

Describe your method for finding your answer.

7.

What is the vertex of the function $f (x) = (x + 7) (x - 13)$ ?

Describe your method for finding your answer.

8.

Write the function $f (x) = (x + 7) (x - 13)$ in standard form.

9.

Given: $f (x) = - (x + 3) (x - 5)$ and the graph of $f (x)$ .

Find:

vertex:

line of symmetry:

$x$ -intercepts:

$y$ -intercept:

standard form of the equation:

Go

Write the equation of a line parallel to the given line and passing through the given point.

10.

$y = 5 x + 11$ point $(2, - 5)$

11.

$y = - 3 x + 8$ point $(- 7, - 10)$

12.

$y = \frac{5}{6} x + 1$ point $(0, 18)$

13.

$y = - \frac{2}{3} x - 19$ point $(12, - 6)$