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4 years ago

13

A number plus five more than twice that number is equal to six less than four times the number .Write an equation that models th

is situation using the variable r to represent the number .

1 answer:

Evgen [1.6K]4 years ago

7 0

The answer is (2r+5)=(4r-6)

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The graph of y=x^2 was transformed to Y= -(x+3)^2 +5. Describe all transformations applied to the original function and determin

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Hey there!

1. The graph was flipped vertically and now opens downward.

We know this because there is a negative sign in front of the equation:

$y=$ $\boxed-$ $(x+3)^2+5$

2. The graph was moved 3 units to the left.

We know this because there is 3 added to x inside of the parenthesis. Remember, inside (parenthesis) is opposite and acts on x, outside (parenthesis) is same and acts on y.

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3. The graph was moved 5 units up.

We know this because there is 5 added at the end of the equation. It acts on y because it is outside of the parenthesis.

$y=-(x+3)^2\boxed{+5}$

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