Suppose a parabola has vertex (–4, 7) and also passes through the point (–3, 8). Write the equation of the parabola in vertex form.

Answers

Answer 1

Answer: The equation for a parabola can also be written in the "vertex form":
$y = a (x-h) ^ 2 + k$
Where,
the vertex of the parabola is the point (h, k).
The value of a is the term that accompanies x ^ 2
Substituting values we have:
$y = a (x - (- 4)) ^ 2 + 7$
Rewriting we have:
$y = a (x + 4) ^ 2 + 7$
For the point (-3, 8) we have:
$8 = a (-3 + 4) ^ 2 + 7$
From here, we clear the value of a:
$8 = a (1) ^ 2 + 7 8 = a + 7 a = 8 - 7 a = 1$
Then, the equation is given by:
$y = (x + 4) ^ 2 + 7$
Answer:
The equation of the parabola in vertex form is:
$y = (x + 4) ^ 2 + 7$

Answer 2

Answer: y=a(x-h)^2 +k
in the vertex (h, k) given that vertex (-4, 7)
we get y=(x-(-4))^2 +7
y=(x+4)^2 +7
hope it helps

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What is 15 divided by 266 with a remainder of 11?

A bakery has 4 trays with 16 muffins on each tray. The bakery has 3 trays of cupcakes with 24cupcakes on each tray. If 15cupcakes are sold, how many muffins and cupcakes are left?

Answers

16 x4=64
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Luis distributes 49 roses equally among seven friends then three of his friends combined the roses they received to make a bouquet how many roses are in this bouquet there are blank roses in this bouquet

Answers

Answer:

The are 21 roses in the bouquet

Step-by-step explanation:

Since the 49 roses are distributed evenly amongst the 7, then what each of the seven will get would be 49/7 = 7 roses

So 3 of the friends combine every of theirs to make a bouquet

The number of roses in the bouquet will be 7 + 7 + 7 = 21 roses

Suppose that you want to model the height of a rider on a Ferris wheel as a function of time. The amplitude of the function you use as a model should be equal to which of the following?a. the area of the Ferris wheel
b. the circumference of the Ferris wheel
c. the diameter of the Ferris wheel
d. the radius of the Ferris wheel

Answers

Answer: d. the radius of the Ferris wheel

Step-by-step explanation:

We now that the amplitude is the vertical distance between a peak or a valley and the equilibrium point.

Thus in the case of Ferris wheel the amplitude should be the difference between the peak(highest) and equilibrium point or equillibrium point and valley(lowest) points .

i.e. it should be half of the diameter of the circle. Since half of diameter of a circle is equals to radius.

Therefore, the amplitude of the function you use as a model should be equal to the radius of the Ferris wheel.

The amplitude of the function you use as a model should be equal to d. the radius of the Ferris wheel. The amplitude should be half the difference between the highest (maximum) and lowest (minimum) points which is half of the diameter of the circle. It is known that half of the diameter is the radius of a circle.

What is the end behavior of the graph of the polynomial function f(x) = 2x3 – 26x – 24?

Answers

Answer: The end behaviour to the left is decreasing and to the right is increasing

The end behaviour of a polynomial function depends on the degree "n" of the polynomial ("n" even or odd) and the sign on the leading coefficient (the coefficient of the "x" has the biggest exponent):
For even degree polynomial (biggest exponent "n" even) and leading coefficient positive the end behaviour is increasing in both ends; and for leading coefficient negative the end behaviour is decreasing in both ends.
For odd degree polynomial (biggest exponent "n" odd) and leading coefficient positive the end behavior to the left is decreasing and the end behaviour to the right is increasing; for leading coefficient negative, the end behaviour to the left is increasing and the end behaviour to the right is decreasing.

In this case the degree of the polynomial (biggest exponent) is n=3 (odd) and the leading coefficient (the coefficient of the "x" has the biggest exponent) is 2 (positive), then the end behaviour to the left is decreasing and to the right is increasing

Answer:A

Step-by-step explanation: jus took it

a on edge

And entryway floor is square with an area of 81 feet^2 which side length of a square rug would fit in the entryway with a border of 1 foot of floor around each edge? O 11 ft O 9ft O 8ft O7ft

Answers

Answer:

D.) 7 ft

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I think it’s A sorry if I’m wrong

Devon owns a house cleaning company and has to give price quotes to potential customers. He figures out his price by assuming a $25 base charge and then adding $8 for each bathroom and $4 for each other room. If he uses P to represent the price and B for bathroom and R for other rooms, which of these represents his price quote formula?A P = 25 + 12(BR)
B P = 4R + 8B + 25
C P = 25(4R + 8B)
D P = (4)(8)(R + B) + 25