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ira [324]
2 years ago
13

Write the vertex and indicate if the graph opens up or down.

Mathematics
2 answers:
Reil [10]2 years ago
7 0
The answer is A,) (-2,-5) because I just did it in my CASIO calculator
Tatiana [17]2 years ago
5 0
Complee the square to get into for
y=a(x-h)^2+k
(h,k) is vertex
if a is positive, it opens up
if a is negative, it opens down

so
y=2x²+8x+3
y=(2x²+8x)+3
y=2(x²+4x)+3
take 1/2 of 4 and square it
4/2=2, 2²=4
ad negative and positive of it inside
y=2(x²+4x+4-4)+3
factor pefect square
y=2((x+2)²-4)+3
distribute
y=2(x+2)²-8+3
y=2(x+2)²-5
y=2(x-(-2))²+(-5)
vertex isi (-2,-5)
2 is positive so it opens up


(-2,-5) up
A is answer
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3 years ago
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Answer:

<h2>x = 7</h2>

Step-by-step explanation:

Simplifying

x + 20 = 5x + -8

Reorder the terms:

20 + x = 5x + -8

Reorder the terms:

20 + x = -8 + 5x

Solving

20 + x = -8 + 5x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5x' to each side of the equation.

20 + x + -5x = -8 + 5x + -5x

Combine like terms: x + -5x = -4x

20 + -4x = -8 + 5x + -5x

Combine like terms: 5x + -5x = 0

20 + -4x = -8 + 0

20 + -4x = -8

Add '-20' to each side of the equation.

20 + -20 + -4x = -8 + -20

Combine like terms: 20 + -20 = 0

0 + -4x = -8 + -20

-4x = -8 + -20

Combine like terms: -8 + -20 = -28

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Divide each side by '-4'.

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Simplifying

x = 7

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