Answer:y=-5(x+11)^2 -28
Step-by-step explanation: Okay think about what you know about translations and transformations of parent functions. In this case, the parent function is x2. So what now?
First, the problem states that the parabola opens DOWN. This means that you should look for a negative leading coefficient. This narrows your options down to C or D. (-5 is the leading coefficient)
Now starting with the x2, the vertex would be at (0,0), but in this problem it is at (-11,-28). That means it was TRANSLATED 11 spots in the negative x-direction and 28 spots in the negative y-direction.
Look at your options, when a number is being added directly unto the x variable, such as in answer C, it moves in the negative x-direction. This tells you that C has to be your answer.
I hope that helps!
Answer:
48°
Step-by-step explanation:
Not sure if you've learner this yet, but the two angles shown are called alternate exterior angles. To make it a little bit easier, 48° has to be the answer since it's the only other angle shown. But to explain it more..
There's corresponding and vertical angles which can be used to solve this equation. There are four spots that would equal 48°, including "b". Corresponding angles are in the same spot, but different sections. There's also vertical angles, which are right across from each other. If you apply vertical and corresponding angles b will be 48°.
Please let me know if you don't really understand what I attempted to explain. If you haven't gone into depths about what I talked about, just think about the first paragraph/section.
9514 1404 393
Answer:
Step-by-step explanation:
The graph shows the function value is zero for x=5 and x=7. These are the elements of the solution set.
x ∈ {5, 7}
__
The graph is below the x-axis between these points, so that is the region where f(x) < 0
5 < x < 7 . . . . . for f(x) < 0
In interval notation: (5, 7).
Answer:
120 - (W*7)= A
Step-by-step explanation:
Let's say after 3 weeks. $120 is what he owes her in the beginning. He pays her $7/week.
After 3 weeks, he owes her 120 - (W*7)= A.
W=3, since we are 3 weeks along. So, after 3 weeks he still owes her
120 - (3*7)= A >>> 120 - 21= A >>> 99= A.
