1. WARM UP 3
EVALUATING RADICAL EXPRESSIONS Evaluate the radical expression when a = -1 and b = 5. (LESSON 9.1).
b 2 − 11a
b 2 +9a
a 2 +8

2. WARM UP 2
EVALUATING RADICAL EXPRESSIONS Evaluate the radical expression when a = -1 and b = 5. (LESSON 9.1).
b 2 − 11a
b 2 +9a
a 2 +8

3. WARM UP 1
EVALUATING RADICAL EXPRESSIONS Evaluate the radical expression when a = -1 and b = 5. (LESSON 9.1).
b 2 − 11a
b 2 +9a
a 2 +8

4. WARM UP
EVALUATING RADICAL EXPRESSIONS Evaluate the radical expression when a = -1 and b = 5. (LESSON 9.1).
b 2 − 11a
b 2 +9a
a 2 +8

5. 9.5 Solving Quadratic Equations by Graphing
ESTIMATING SOLUTIONS BY GRAPHING
The solutions of a quadratic equation in one variable x can be estimated by graphing. Use the following steps:
STEP 1 Write the equation in the standard for ax2 +bx + c = 0
STEP 2 Sketch the graph of the related quadratic function
y = ax2 +bx + c
STEP 3 Estimate the values of the x-intercepts, if any.
The solutions, or roots, of ax2 +bx + c = 0 are the x-intercepts of the graph.

6. 9.5 Solving Quadratic Equations by Graphing
Solve an Equation by Graphing
1. x2 + 2x = 3 x y x -3 -2 -1 1 y -4
x-intercept
(-3, 0)
x-intercept
(1, 0)
y = x2 + 2x - 3

7. 9.5 Solving Quadratic Equations by Graphing
Solve an Equation by Graphing
2. x2 - x = 12
In order to fit all of the
function on the graph,
you must scale the y’s
by 2. (+20 at top, -20
at bottom.) x y x -3 -2 -1
𝟏 𝟐 1 2 3 4 y -6
-10
-12
-12.25
x-intercept
(-3, 0)
x-intercept
(4, 0)
y = x2 - x - 12

8. 9.5 Solving Quadratic Equations by Graphing
Solve an Equation by Graphing
3. -4x2 - 8x = -12
In order to fit all of the
function on the graph,
you must scale the y’s
by 2. (+20 at top, -20
at bottom.) x -3 -2 -1 1 y 12 16 x y
y = -4x2 - 8x + 12
x-intercept
(-3, 0)
x-intercept
(1, 0)