Answer:
g(x) = 2x² + 1
Step-by-step explanation:
The parabola got thinner, so to show that, you put a 2 <u><em>before</em></u> x²<em> </em>to show that the graph was <em>dilated </em>(or thinned) by a factor of <em>2 </em>(Note: this number can also be <em>negative</em>, so if the dilation factor is negative, it's okay). Since the parabola shifts up by <em>1</em>, you then add + 1<em> </em><em><u>after</u></em> x² to show the positive upward shift.
Your full equation would look like this: g(x) = 2x² + 1
Dilation: this just means that every point on the parent function was double (or whatever the factor is) in the transformed function.
Answer:
10 + x/6
Step-by-step explanation:
Answer : AB = 12
Explanation:
2x + 6 + 5x - 3 = 24
7x + 3 = 24
x = 3
AB = 2x + 6 = 2(3) + 6 = 12
12 action films are shown.
This is because if the ratio is 1:2, that means that exactly half of the total amount of movies are action. Thus, to evaluate this problem, you would find half of 24.
Answer:

Step-by-step explanation:
We are given the two functions:

And we want to find:

So, by substitution:

Simplify. Distribute:

Rearrange:

Combine like terms. Hence:
