Lesson 4 The x-Factor Solidify Understanding

Ready

For each of the linear equations, state the important features that are either given or most easily found from the form of the equation that is given.

1.

$g (x) = 6 (x - 8) + 3$

2.

$5 x - 2 y = 30$

3.

$h (x) = - 4 x + 9$

For each of the exponential equations, state the important features that are given right in the equation.

4.

$f (x) = 5 {(2)}^{x}$

5.

$w (x) = w (x - 1) \cdot 4, w (1) = 13$

6.

$r (t) = 2 {(3)}^{t - 1}$

Set

The area of a rectangle is given in the form of a trinomial expression. Find the equivalent expression that shows the lengths of the two sides of the rectangle.

7.

$x^{2} + 9 x + 8$

8.

$x^{2} - 6 x + 8$

9.

$x^{2} - 2 x - 8$

10.

$x^{2} + 7 x - 8$

11.

$x^{2} - 11 x + 24$

12.

$x^{2} - 14 x + 24$

13.

$x^{2} - 25 x + 24$

14.

$x^{2} - 10 x + 24$

15.

$x^{2} - 2 x - 24$

16.

$x^{2} - 5 x - 24$

17.

$x^{2} + 5 x - 24$

18.

$x^{2} - 10 x + 25$

19.

$x^{2} - 25$

20.

$x^{2} - 2 x - 15$

21.

$x^{2} + 10 x - 75$

22.

$x^{2} - 20 x + 51$

23.

$x^{2} + 14 x - 32$

24.

$x^{2} - 1$

25.

$x^{2} - 2 x + 1$

26.

$x^{2} + 12 x - 45$

Go

Graph each parabola. Include the vertex and at least two precise points on each side of the vertex. Label your points.

27.

$f (x) = x^{2}$

Vertex:

Points:

28.

$g (x) = x^{2} - 3$

Vertex:

Points:

29.

$h (x) = x^{2} - 4 x + 4$

Vertex:

Points:

30.

$b (x) = - x^{2} - 2 x + 3$

Vertex:

Points: