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2 years ago

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

Mathematics

1 answer:

egoroff_w [7]2 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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Y+1=3/4(x+7) standard form

Bad White [126]

Answer:

3x - 4y= -17 or slope intercept form is y= $\frac{3}{4}x+\frac{17}{4}$

Step-by-step explanation:

Use the Ax+By=C equation

3 0

2 years ago

I'm really not sure how to go about solving this algebraic equation, please help! .513 = (2x)^2 / (.05-x)

LiRa [457]

Let's set it up like this:
$0.513=\frac{\left(2x\right)^2}{\left(0.05-x\right)}$
Multiply both sides by $0.05-x$
$0.513\left(0.05-x\right)=\frac{\left(2x\right)^2}{0.05-x}\left(0.05-x\right)$
$0.513\left(0.05-x\right)=4x^2$
We are then going to use the distributive property. Since we also know that the opposite of an number that is squared is the square root, we can also apply that. We would be left with something like this:
$x=-\frac{0.513+\sqrt{0.673569}}{8},\:x=\frac{\sqrt{0.673569}-0.513}{8}$
The variable $x$ can be both positive or negative.
We have found successfully our answer.

Let me know if you have any questions regarding this problem!
Thanks!
-TetraFish<span />

4 0

2 years ago

What's the value of x<br> 4x+10=-26

Mnenie [13.5K]

4x+10=-26
Subtract 10 to both sides:
4x=-36
Divide 4 to both sides:
x=-9

6 0

1 year ago

Read 2 more answers

The histogram shows the speeds of downhill skiers during a competition. Estimate the mean of the data set displayed in the histo

Ostrovityanka [42]

Answer:

≈50.6

Step-by-step explanation:

Not sure what precision level this problem is looking for, but for right-skewed distributions, we know that the mean is going to be pulled right and therefore the mean should be larger than the median. To a high confidence level, the mean should fall between 50 and 59, or in the third column.

If a single estimation is wanted, assume the values inside each column are uniformly distributed:

$\displaystyle\\\widehat{\mu}=\frac{34.5\cdot 4+...+74.5\cdot 2}{4+9+4+4+2}\approx \boxed{50.6}$

8 0

2 years ago

In 2006, out of 100,000 25-year-olds, 99,781 were still alive. The probability of

finlep [7]

Empirical probability

Step-by-step explanation:

5 0

2 years ago