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2 years ago

What is the equation of the quadratic graph with a focus of (−4, seventeen eighths ) and a directrix of y = fifteen eighths

1 answer:

5 0

Standard form for a parabola:
( x - h )² = 4 p ( y - k )
Vertex: ( h, k ) = ( -4, 2 )
Displacement from vertex to focus:
p = 2/8 = 1/4
( x + 4 )² = 4 · 1/4 ( y - 2 )
y = ( x + 4 )² + 2
or general form:
x² + 8 x - y + 18 = 0

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Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!!

elena-14-01-66 [18.8K]

Answer:

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

m(x) = 2(x + 4)² - 8 ← is in vertex form

with vertex = (- 4, - 8 ) → A

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2 years ago

Read 2 more answers

What is 92% of 680 kg

tresset_1 [31]

Step-by-step explanation:

92% of (680 kilograms) =

625.6 kilograms

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2 years ago

CAN SOMEONE HELP ME WITH THIS PLEASE.Ill give brainless and points

MariettaO [177]

Answer:

-2, 4, 36

Step-by-step explanation:

the equation should be:

(x+2)^2 + (y-4)^2 = 36

since the center is (-2, 3) and the radius is 6 units.

always remember:

C(h,k) = (x-h)^2 + (y-k)^2 = (radius)^2

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2 years ago

Name the base and exponent for 7:4

Dmitriy789 [7]

Hello,
You mean 7^4. As a result, the base is 7 and the exponent will be 4. Hope it help!

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2 years ago

Brainliest + points!!!

Talja [164]

Answer: $y = 5.88(1.24)^x$

Step-by-step explanation: We are given points (−3,5),(1,12),(5,72),(7,137).

We know the equation of an exponential modal is:

$y = a(b)^x$

Let us take first point and plug in above exponential equation, we get

$5 = a(b)^{-3}$

On applying negative exponents rule $a^{-n}= 1/a^n$ , we get

$5 = \frac{a}{b^3}$

On cross multiplying, we get

$5b^3 =a.$ ------------(1).

Now, plugging (1,12) in above exponential equation, we get

$12 = a(b)^{1}$

$12 = ab$ --------------(2).

Substituting $a=5b^3$ in second equation, we get

$12 = (5b^3)\times b$

$12 = 5b^4$

Dividing both sides by 5, we get

$\frac{12}{5} =\frac{5b^4}{5}$

$2.4=b^4$

Taking 4th root on both sides, we get

$b =\sqrt[4]{2.4}$

b= 1.24.

Plugging b = 1.24 in first equation, we get

$a = 5(1.24)^3$

a=5.88.

Plugging values of a and b in $y = a(b)^x$ , we get

$y = 5.88(1.24)^x$

8 0

2 years ago