The graph if f is translated a whole number of units horizontally and vertically to obtain the graph of h

The function f is defined by
f(x)=x^2 write the expression for h(x)

5 answers

The expression for h(x) is:
h(x) = (x-a)^2 + b,
where a is the horizontal translation (in whole number units) and b is the vertical translation (in whole number units).
Use the change of base formula to compute log6 base7
To compute log base 7 of 6 using the change of base formula, you can use the formula:

log base a of b = log base c of b / log base c of a

In this case, we want to compute log base 7 of 6, so a=7 and b=6. Let's choose c=10 to compute the logs:

log base 7 of 6 = log base 10 of 6 / log base 10 of 7

To calculate these logs using a calculator:

log base 10 of 6 ≈ 0.7781512504
log base 10 of 7 ≈ 0.84509804001

Now, substitute these values into the above equation:

log base 7 of 6 ≈ 0.7781512504 / 0.84509804001 ≈ 0.9190780924

Therefore, log base 7 of 6 ≈ 0.919.
The graph of the function of h for the intercept (2,4) and (-4,-2) write the domain and range
The domain is the set of all possible x-values for the function h. In this case, since we are given two points (2,4) and (-4,-2), we can determine that the domain of h is all real numbers.

The range is the set of all possible y-values for the function h. By looking at the given points (2,4) and (-4,-2), we can see that the y-values of h range from -2 to 4. Therefore, the range of h is [-2, 4].