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3 years ago

Can you help me with this question?

Mathematics

1 answer:

siniylev [52]3 years ago

6 0

Answer:

g(x) = 4x²

Step-by-step explanation:

The function f(x) goes through the point f(1) = 1. The function g(x) has its vertex in the same place, so there is no translation involved, only scaling. The scale factor (a) can be found from ...

g(x) = a·f(x)

g(1) = 4 = a·f(1) = a·1

Then a=4, and the equation for g(x) is ...

g(x) = 4·f(x)

g(x) = 4x²

You might be interested in

If t=x+k/m then x equals

kvv77 [185]

Answer:

x = t - $\frac{k}{m}$

Step-by-step explanation:

Given

t = x + $\frac{k}{m}$ ( isolate x by subtracting $\frac{k}{m}$ from both sides )

t - $\frac{k}{m}$ = x

7 0

3 years ago

Find f(0), if not supplied, and then find the equation of the given linear function.

My name is Ann [436]

Answer:

Part 1) $f(0)=2$

Part 2) $f(x)=3x+2$

Step-by-step explanation:

Part 1) Find f(0)

we know that

Looking at the data in the table

When the value of x increases by 1 unit, the value of y increases by 3 units

therefore

When the value of x decreases by 1 unit from 1 to 0, the value of y would decreases 3 units from 5 to 2

thus

$f(0)=2$

This value represent the y-intercept

Part 2) Find the equation of the given linear

Find the slope

take the points (1,5) and (2,8)

$m=(8-5)/(2-1)=3$

The equation of the line in slope intercept form is equal to

$f(x)=mx+b$

we have

$m=3\\b=2$

substitute

$f(x)=3x+2$

3 0

4 years ago

Find the future value of an annuity due of $400 each quarter for 4 1 2 years at 13%, compounded quarterly. (Round your answer to

Flura [38]

Answer:

$9891.23

Step-by-step explanation:

The formula for future value of annuity due is:

$FV=P[\frac{(1+r)^{n}-1}{r}]*(1+r)$

Where,

FV is the future value of the annuity (what we need to find)
P is the periodic payment (here it is $400)
r is the interest rate per period (here 13% yearly interest is actually $\frac{13}{4}=3.25$ percent per period(quarter))
n is the number of periods (here the annuity is for $4\frac{1}{2}$ years, which is $4\frac{1}{2}*4=18$ periods, since quarterly and there are 4 quarters in 1 year)