Answer:
x-intercept (s):
For this case h (x) = 0
x2 - 2x - 8 = 0
(x-4) * (x + 2) = 0
x1 = 4
x2 = -2
y-intercept:
For this case x = 0
h (0) = (0)2 - 2 (0) - 8
h (0) = - 8
vertex:
We derive the equation:
h '(x) = x2 - 2x - 8
h (x) = 2x - 2
We match zero:
2x-2 = 0
x = 2/2
x = 1
We evaluate the function for x = 1
h (1) = (1)2 - 2 (1) - 8
h (1) = 1 - 2 - 8
h (1) = -9
The vertex is:
(1, -9)
axis of symmetry of the function:
x = 1
Step-by-step explanation:
hope it helps
The answer to your question is 3
Answer:
the ratio is 9: 25
Step by step calculation:
![\sqrt[3]{125} = 5 \\ 5 {}^{2} = 25 \\ \sqrt[3]{27} = 3 \\ 3 {}^{2 } = 9 \\](https://tex.z-dn.net/?f=%20%20%5Csqrt%5B3%5D%7B125%7D%20%20%3D%205%20%5C%5C%205%20%7B%7D%5E%7B2%7D%20%20%3D%2025%20%5C%5C%20%20%5Csqrt%5B3%5D%7B27%7D%20%20%3D%203%20%5C%5C%203%20%7B%7D%5E%7B2%20%7D%20%20%3D%209%20%5C%5C%20)
The first row represents the input. The second row represents the value that the function f assumes for each input above. The third row represents the value that the function g assumes for each input above.
To compute f(1), we look for 1 in the first row (third column) and we look for the correspondent value for f. In this case, we have f(1)=4
Similarly, we look for 3 in the first row (last column) and we look for the value of g. In this case, we have g(3)=3.
Now we can plug the values in the formula:

The question is quite unclear.