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musickatia [10]
3 years ago
5

Solve

" alt="y = {x}^{2} - 5" align="absmiddle" class="latex-formula">
for x
​
Mathematics
1 answer:
vesna_86 [32]3 years ago
3 0

Add 5 to both sides

y + 5 = x^2

Take the square root of both sides

±√y + 5 = x

Switch sides

<u>x = ±√y + 5</u>

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if you horizontally shift the square root parent function, F(x) = <img src="https://tex.z-dn.net/?f=%5Csqrt%7Bx%7D" id="TexFormu
Juli2301 [7.4K]

ANSWER

g(x) =  \sqrt{x + 4}

EXPLANATION

The parent square root function is

f(x) =  \sqrt{x}

The translation

g(x ) =  \sqrt{x + k}

Will shift the graph of f(x) k units to left.

The translation

g(x) =  \sqrt{x -k}

will shift the graph of f(x) to the right by k units.

Therefore if f(x) is shifted 4 units to the left its new equation is:

g(x) =  \sqrt{x + 4}

7 0
3 years ago
My sister went QUaCk and my heart QuaKeD
labwork [276]

Answer:

That's nice

But it should've YEETED

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
2. Write a quadratic function that has -intercepts (- 3, 0) and (4, 0) and passes through the point (5, 8)
Reptile [31]

Answer:

f(x)=x^2-x-12

Step-by-step explanation:

<u>Quadratic Function</u>

Standard Form of Quadratic Function

The standard representation of a quadratic function is:

f(x)=ax^2+bx+c

where a,b, and c are constants.

When the zeros of f (x1 and x2) are given, it can be written as:

f(x)=a(x-x1)(x-x2)

Where a is a constant called the leading coefficient.

We are given the two roots of f: x1=-3 and x2=4, thus:

f(x)=a(x+3)(x-4)

We also know that f(5)=8, thus:

f(5)=a(5+3)(5-4)=8

Operating:

a(8)(1)=8

Solving:

a=1

The function is:

f(x)=1(x+3)(x-4)

Operating:

\boxed{f(x)=x^2-x-12}

5 0
3 years ago
What is the image point of ( 4 , − 6 ) (4,−6) after a translation right 5 units and up 4 units?
Stella [2.4K]

Answer:

(9,-2)

Step-by-step explanation:

5 is the x coordinate, and 4 is the y coordinate. When you go right a certain amount of units, you add those units to your x coordinate. If you were to go left a certain amount of units, you'd subtract them. Since we're going right, 5 + 4 = 9. When you go up a certain amount of units, you add those units to you y coordinate. If you were to go down a certain amount of units, you'd subtract them.  Since we're going up, -6 + 4 = -2. So, x = 9 and y = -2, or (9,-2)

3 0
3 years ago
What is the answer to the question?
taurus [48]
A=55 hope I helped :)
7 0
3 years ago
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