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Also these 2 :) determining the vertex and shifts/translations

Also these 2 :) determining the vertex and shifts/translations-example-1
User Plyto
by
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1 Answer

5 votes

Answer:

The answer to your question is below

Explanation:

A) f(x) = x² + 4x + 1

Find the vertex

y = x² + 4x + 1

-Subtract 1 in both sides

y - 1 = x² + 4x

-Complete the perfect trinomial square in the right side

y - 1 + (2)² = x² + 4x + (2)²

-Simplify

y - 1 + 4 = (x + 2)²

y + 3 = (x + 2)²

-Find the vertex

V = (-2, -3)

B)

f(x) = x²

g(x) = (x - 4)² - 2 See the picture below

Shifted right 4 units

Shifted down 2 units

Also these 2 :) determining the vertex and shifts/translations-example-1
User Hearner
by
7.9k points

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