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83, the only number between 78 and 88 that has a 3 in the ones place.
Hope this helps!
Answer:
f(x) = -4x² + 19x - 18
Step-by-step explanation:

i) If it is translated 2 units in the positive x direction, therefore we use f(x-2)

f(x) = 2x² - 9.5x + 6
If it is then translated 3 units in the positive y, we add 3 to the input function to get:

ii) stretched vertically by a factor of 2, we multiply the function by 2 to get:

iii) reflected across the x-axis
we multiply the parent function by –1, to get a reflection about the x-axis.

Answer: OPTION C
Given the functions shown in the figure attached, you have that f(x)*g(x), means that you must multiply both functions.
Therefore, you have:

Now, you must apply the distributive property, therefore, you obtain:

As you can see, the answer is the Option C.
Answer:
Ellipse
Step-by-step explanation:
Given


Required
The kind of shapes with such equations
This answer to this question is(B) Ellipse
The parametric equation of an ellipse is represented as:
and 
In this case:

So:
and 