Using the Calculator to solve an Equation

Bell Ringer 63: 5/10

1. MC: Convert this equation from graphing form to standard form: y = -2 ( x + 3 )2 + 3.

[A] y = x2 + 6x + 12 [B] y = -2x2 – 15 [C] y = -2x2 – 12x – 15 [D] y = -2x2 – 12x – 24

2. What value of c would make x2 + 28x + c a perfect square?

3. Change y = x2 – 10x + 32 into graphing form by completing the square.

Day 63: May 10th

Objective: Use graphs to validate algebraic solutions and to approximate solutions when no algebraic method is available, and use two different methods to solve one-variable equations graphically.

• Homework and Classwork Check• 5-13 to 5-14 (pgs 224-225)• Closure

Homework: 5-18 to 5-24 (pgs 226-227)

Homework: Lesson 5.1.1

Calculator Functions

Finding an Intersection:• Press 2nd and TRACE (CALC)• Select 5:interesect• When each direction is satisfied, hit ENTER

Finding an x-intercept:• Press 2nd and TRACE (CALC)• Select 2:zero• When each direction is satisfied, hit ENTER

Calculator & Solving Equations

Method 1:

Enter –

Calculator Function –

2 2Solve: 2 5 3 4 3x x x x

21

22

2 5 3

4 3y x

y x

x

x

CALC: intersect

Intersection

x-coordinates!

3,0

2,16

3x 2x OR

Left Side

Right Side

Calculator & Solving Equations

Method 2:

Solve for 0:

Enter –

Calculator Function –

2 2Solve: 2 5 3 4 3x x x x

21 6y x x

CALC: zero

Solve for 0 then find x-intercept(s)

x-intercepts!2 2

2

2

2

2 5 3 4 3

5 3 4 3

3 3

6 0

x x x x

x x x

x x

x x

2 6 0x x

3 23x 2x OR