Answer:
Step-by-step explanation:
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<u>Lesson : Finding vertex from quadratic functions ,</u></h2><h2>
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Given:
f(x) = (x - 3)(x - 2)
"Vertex"
Find the x intercepts by using the zero product property,
(x - 3) (x - 2) = 0
x = 3 x = 2
X-int = (3,0) , (2,0)
Now find the y intercepts by factoring the equation ,
(x - 3)(x - 2)
x * x
x^2
x * -2
x^2 -2x
-3 * x
x^2 -2x -3x
-3 * -2
x^2 -2x -3x + 6
Combining like terms:
x^2 -5x + 6
Replace x with zero,
0^2 -5(0) + 6
6
y intercept = (0,6)
Now graph :
Graph shown
Find vertex -
Answer:
a = 2, b = - 3, c = - 8
Step-by-step explanation:
Expand f(x) = a(x + b)² + c and compare coefficients of like terms, that is
a(x + b)² + c ← expand (x + b)² using FOIL
= a(x² + 2bx + b²) + c ← distribute parenthesis by a
= ax² + 2abx + ab² + c
Compare like terms with f(x) = 2x² - 12x + 10
Compare coefficients x² term
a = 2
Compare coefficients of x- term
2ab = - 12, substitute a = 2
2(2)b = - 12
4b = - 12 ( divide both sides by 4 )
b = - 3
Compare constant term
ab² + c = 10 , substitute a = 2, b = - 3
2(- 3)² + c = 10
18 + c = 10 ( subtract 18 from both sides )
c = - 8
Then a = 2, b = - 3, c = - 8
You take 50/4 which equals 12.5
so now you say “well one sub is 2.95”
take that and multiply it by 12
12 x 2.95 = 35.4
then you take 2.95 and divide it by 2 that is 1.48
so now you take 35.4 + 1.48
the cost should be 36.88
Step-by-step explanation:
The awnser is -6+6 because it would end up being 0, which is not positive nor negative
Your answer is 25% because a change from 16 to 20 represents a positive change (increase) of 25%
