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3 years ago

Can someone help please?

Mathematics

1 answer:

Vlada [557]3 years ago

5 0

Answer:

Step-by-step explanation:

Vertex of the given parabola = (1, -4)

Since, vertex form of a parabola is given by,

y = (x - h)² + k

Here (h, k) is the vertex

Now substitute the coordinates (1, -4) in the equation.

y = (x - 1)²- 4 [Vertex Form]

Further solve this equation,

y = x² - 2x + 1 - 4

y = x² - 2x - 3 [Standard form]

Further write this equation in the factored form,

y = x² - 3x + x - 3

y = x(x - 3) + 1(x - 3)

y = (x + 1)(x - 3) [Factored form]

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Help me please im very confused and im i wrong on my question?

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Find the formula for an exponential function that passes through the two points give.

Ksenya-84 [330]

Answer:

$y=3(2)^{x}$

Step-by-step explanation:

Given.

Two points are given.

$(x, y)=(-1,\frac{3}{2})$ and $(x, y)=(3,24)$

An exponential function is in the general form.

$y=a(b)^{x}$ -------(1)

We know the points $(-1,\frac{3}{2})$ and $(3,24)$

put the first point value in equation 1

$\frac{3}{2}=a(b)^{-1}$

$\frac{3}{2}=\frac{a}{b}$

$a=\frac{3}{2}\times b$ --------(2)

put the second point value in equation 1

$24=a(b)^{3}$ ----------(3)

Put the a value from equation 2 to equation 3

$24=\frac{3}{2}\times b(b)^{3}$

$b^{3+1}=\frac{24\times 2}{3}$

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$a=\frac{3}{2}\times 2$

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$y=3(2)^{x}$

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3 years ago

!HELP HELP HELP HELP!

liraira [26]

Answer:

615.75216 ft

Step-by-step explanation:

diameterd=2r

d=2×14

d=28

circumferenceC=2πr

C=2×π×14

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C=87.9645943

areaA=πr2

A=π×142

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Hope this helps~

All the love, Ya boi Fraser :)

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3 years ago

What is f(x) = –4x2 + 24x + 13 written in vertex form? f(x) = –4(x – 6)2 + 23 f(x) = –4(x – 6)2 + 7 f(x) = –4(x – 3)2 + 4 f(x) =

nika2105 [10]

We have that
f(x) = –4x² + 24x + 13

we know that

The vertex form for a parabola that opens up or down is:

f(x) = a(x - h)^2 + k

in the given equation, a=-4, therefore we add zero to the original equation in the form of 4h²−4h²
f(x) = –4x² + 24x + 4h²−4h² +13
Factor 4 out of the first 3 terms and group them
f(x) = –4*(x² -6x +h²) +4h² +13
We can find the value of h by setting the middle term equal to -2hx
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we know that the term (x² -6x +9) is equals to------> (x-3)²
so
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the answer is
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