answer 3. evaluate the expression. warm up for lesson 10.6 1.8x 2 when x = 4 answer 128 answer –1...
TRANSCRIPT
ANSWER
3.2 2 5y x x
1) 1
2) 1,4
3) y-intercept (0,5)
x
vertex
Evaluate the expression.
Warm Up for Lesson 10.6
1. 8x2 when x = 4
ANSWER 128 ANSWER –1
2. –4 + x when x = 9√
Find the (1)Axis of Symmetry, (2)the Vertex, (3) y-intercept.
What does the Quadratic Equation tell us?
What the 2 Solutions are
THE QUADRATIC FORMULA:
√√
What that 1 Solution is
-b b2 – 4ac x =
2a
What the 2 Imaginary Solutions are
Gives the solutions of any quadratic equation in standard form
What is the Quadratic Formula?
2
bx
a
The Axis of Symmetry
2 4b ac
The Discriminant Formula
2 4
2
b b acx
a
-3x-3x
3 7
4
3 7
4and
10
4
5 12
2 2
4
4and
1and
x b b2 4ac
2a
Solve with Quadratic Formula1. Put Equation into Std. Form
(ax2 + bx + c = 0)2. Replace a, b & c into the Quad. Eq.
3. Simplify Radical1. Factors of 32 are 16 and 2
4. Reduce the triangle1. Divisible by 2
a= 1 b= 2 c= -7
1. x 2 2x 7 0
2 2 7 0x x
22 2 4 1 7
2 1x
2 4 28
2x
2 16 2
2x
1 2 2x
2 32
2
2 4 2
2
x b b2 4ac
2a
Solve with Quadratic Formula1. Put Equation into Std. Form
(ax2 + bx + c = 0)2. Replace a, b & c into the Quad. Eq.
3. Simplify Radical1. Can’t simplify
4. Reduce the triangle1. Can’t reduce-missing 3rd part of
triangle
a= 1 b= 5 c= 3
21. 5 3x x
2 5 3 0x x
25 5 4 1 3
2 1x
5 25 12
2x
5 13
2x
5 13
2
x b b2 4ac
2a
Solve with Quadratic Formula1. Put Equation into Std. Form
(ax2 + bx + c = 0)2. Replace a, b & c into the Quad. Eq.
3. Simplify Radical
4. Reduce the triangle1. Divisible by 2
a= 3 b= -4 c= -7
21. 3 7 4x x
23 4 7 0x x
2( 4) 4 4 3 7
2 3x
4 16 84
6x
7 12
3 3x
4 100
6
4 10
6x
2 5
3x
2 5
3x
31
3x
