Answer: D
<u>Step-by-step explanation:</u>
Vertex form is: f(x) = a(x - h)² + k where (h, k) is the vertex.
f(x) = (x - 3)² - 5
- the vertex is (3, 5).
- "a" is positive (+1), so it points upward.
The only graph that matches is the last one, <em>which I called graph D.</em>
It’s 3. Each input can only go to one output and 2 goes to 2 outputs
Answer:
x2+8x
Step-by-step explanation:
Answer:
1. |y| sqrt(10)
2. |x| sqrt(x)
3. a^2 sqrt(a)
4. 4 |y|^3 sqrt(3)
5. 1/4 *|x| sqrt(3x)
Step-by-step explanation:
1. sqrt(10y^2)
We know that sqrt(ab) = sqrt(a) sqrt(b)
sqrt(y^2) sqrt(10)
|y| sqrt(10)
We take the absolute value of y because -y*-y = y^2 and the principle square root is y
2. sqrt(x^3)
We know that sqrt(ab) = sqrt(a) sqrt(b)
sqrt(x^2) sqrt(x)
|x| sqrt(x)
3. sqrt(a^5)
We know that sqrt(ab) = sqrt(a) sqrt(b)
sqrt(a^4) sqrt(a)
a^2 sqrt(a)
4. sqrt(16 y^7)
We know that sqrt(ab) = sqrt(a) sqrt(b)
sqrt(16) sqrt(y^6)sqrt(y)
4 |y|^3 sqrt(3)
5. sqrt(3/16x^3)
We know that sqrt(ab) = sqrt(a) sqrt(b)
sqrt(1/16) sqrt(x^2)sqrt(3x)
1/4 *|x| sqrt(3x)
You could do all of the work with the multiplying, but what I think it wants you to see is that you can divide like numbers by subtracting exponents.
so if we did that we would get 
this in turn would give us 4 x -9 x -5 = 180
