Answer:
The equation in vertex form is:

Step-by-step explanation:
Recall that the formula of a parabola with vertex at
is given by the equation in vertex form:

where the parameter
can be specified by an extra information on any other point apart from the vertex, that parabola goes through.
In our case, since the vertex must be the point (2, 1), the vertex form of the parabola becomes:

we have the information on the extra point (0, 5) where the parabola crosses the y-axis. Then, we use it to find the missing parameter
:

The, the final form of the parabola's equation in vertex form is:

Answer:
3,786
Step-by-step explanation:
Answer: 7(-4-x) —> -28-7x. 7(4+x) —> 28+7x. -7(-4+x) —> 28-7x. -7(4-x) —> -28+7x
Step-by-step explanation:
Answer:
I'm going to lay this out in a chart so it's a little easier to see:
F(x) = f(g(x))
x | f (x) | f ' (x) | g (x) | g ' (x)
--------------------------------------
-2 | 8 | 4 |
5 | | 3 | -2 | 6
Remember the chain rule, which says
(f (g (x))) ' = g ' (x) f ' (g (x))
When they ask for F ' (5), they are asking for (f (g (x))) ' when x = 5.
Using the chain rule, that's
F ' (5) = g ' (5) f ' (g (5))
We can simplify using the numbers provided.
F ' (5) = (6) f ' (-2)
F ' (5) = (6) (4)
F ' (5) = 24
I hope that helps!
by jannat <33