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OleMash [197]
3 years ago
5

What is the equation of the following graph in vertex form?

Mathematics
1 answer:
egoroff_w [7]3 years ago
8 0

Answer:

y = (x + 1)²

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

Here (h, k) = (- 1, 0) , then

y = a(x + 1)² + 0

To find a substitute (0, 1), the y- intercept into the equation

1 = a(0 + 1)² = a

y = (x + 1)²

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What is the value of tan(60°)?
Ilya [14]

Answer: the square root of 3

Step-by-step explanation:

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3 years ago
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16) Divide: −96 ÷ −12 = A) −8 B) −7 C) 6 D) 8
ira [324]

Answer:

It would be (D 8)

Step-by-step explanation:

5 0
3 years ago
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Please help and thank you
hammer [34]

Answer:

<h2>D. g(x) = (x - 4)²</h2>

Step-by-step explanation:

f(x) + n - shift the graph n units up

f(x) - n - shift the graph n units down

f(x - n) - shift the graph n units to the right

f(x + n) - shift the graph n units to the left

=========================================

The graph of f(x) shifted by 4 units to the right. Therefore, the equation g(x) is:

g(x) = f(x - 4) = (x -4)²

4 0
3 years ago
The radioactive substance uranium-240 has a half-life of 14 hours. The amount
k0ka [10]
<h2>Answer:</h2>

See analyris

<h2>Step-by-step explanation:</h2>

Hlug\ in\ the\ value\ of \left.\ t.\right\}

The\ infital\ ampunt\ in\ the\ sample:

t=0_{-1}\ \ \ \ \ f(t)=39\omega\bullet(\frac{1}{2})^\frac{0}{14}

                        =3900\ g.

Ater\ bo\ busis.

t=6,\ \ \ \ \ A(t)=2900\times(\frac{1}{2})^\frac{60}{14}

                       =3900\times(\frac{1}{2})^\frac{30}{7}

                       \approx 209.

<em>I hope this helps you</em>

<em>:)</em>

6 0
3 years ago
In the solution of the equation 5 + 3x = -2x + 9, 2x is added to the equation first. Which of the following should be done next?
puteri [66]

You should subtract 5 from both sides next.


Adding 2x to both side will give you the following.


5 + 5x = 9


And since you got all the variable terms to the left, you want all the constant terms to the right. You do that by subtracting 5 from both sides. This gives you the below statement.


5x = 4


You can then divide to solve.


x = 4/5 or .8

5 0
3 years ago
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