Answer:
Let's talk through this a one step at a time.
*Since f(x) is concave-up with its vertex on the x-axis, we know f(x) ≥ 0.
*We also know that when we shift a function's domain by a positive number, we shift the function left and when we shift a function's domain by a negative number, we shift the function right. So f(x-5) is f(x) shifted to the right by 5.
*At this point, f(x-5) has its vertex at (5,0).
*When we negate f(x-5), the parabola becomes concave down yet the vertex remains at (5,0). Now we're at -f(x-5). At this point we have -f(x-5)≤0 with a range (-∞,0]
*If we add 2 to create g(x)=2-f(x-5), then we have a concave down parabola with its vertex shifted up by 2, at (5,2). So, g(x) is concave down with its vertex at (5,2). Hence
Answer:
4
Step-by-step explanation:
Let us plug x in to the equation given that it equals 6.
4(6-5)=
4*1=
4
<em>Hope this helps! :)</em>
Answer:
15
Step-by-step explanation:
If you try to find how many times 3 goes into 45, it would be 15. Same thing with 6 and 90 and 8 and 120, they would all be 15.
Answer: The lower quartile is 6
Step-by-step explanation: To find the lower quartile of a set of data, we can find the median of the data and then find the median of the first half. This strategy is similar to dividing a cake into halves, and then dividing one of the halves in half so that you end up with a quarter of the cake.
Answer:
I believe the answer to this question is: Slope-Intercept-Form;
Y= - 7/2x - 27/2.
