Which answer describes the transformation of f (x) = x^2 −1 to g(x)=(x+2)^2−1 ?

1 answer:

7 0

Answer: A horizontal translation 2 units to the left

In this case, we are changing the variable x before it is being squared. This will have the effect of changing the input of the function. Imagine input 2 into the equation. Your first step would be to add 2. Therefore, you would need to start with a negative 2 to get us back to 0, or the beginning.

Since -2 is to the left of 0, the graph is moving 2 units to the left.

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Surveys indicate that two-thirds of all voters in Ward 5 plan on choosing Spike Jones for commissioner. If there are 500 voters

olya-2409 [2.1K]

<u>Answer:</u>

333 people of ward 5 are going to be voting for Spike Jones.

<u>Solution:</u>

We have been given that two-thirds of all voters in Ward 5 plan on choosing Spike Jones for commissioner.

There are 500 voters in Ward 5.

Since 2/3 of all voters in Ward 5 are voting for Spike Jones the remaining 1/3 will not be voting for him.

To find out how many people in ward 5 are exactly voting for Spike Jones. We need to calculate how much is two thirds of 500 is.

This is done as follows:

$\begin{array}{l}{\frac{2}{3} \times 500} \\\\ {=\frac{1000}{3}} \\\\ {=333.334}\end{array}$

Since people cannot be denoted in decimal points we have to round it off to a whole number. That’s is 333.

Therefore 333 people of ward 5 are going to be voting for Spike Jones.

4 0

3 years ago

After you subtract both sides by 4. How can you solve for 3x in this equation?

Nataly [62]

Answer:

Step-by-step explanation:

Once you subtract both sides, the 4 is gone then the 10 is subtracted into a 6. You go to the 3x, and just like what you did to the 4 you do the opposite and divide the 3 by itself and the 6 by 3 as well.

8 0

4 years ago

How do you solve 10+5(3x-4)=2x+7

Taya2010 [7]

Answer:

$x=1\dfrac{4}{13}$