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3 years ago

Plot the vertex of f(x) = (x − 2)2 + 2. PLEASE HELP ME IM UPSET

Mathematics

1 answer:

8090 [49]3 years ago

3 0

<h3>Answer: The vertex is located at (2, 2)</h3>

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

Explanation:

The general vertex form is

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

When we compare the function your teacher gave you to this template, then we see that

a = 1
h = 2
k = 2

The vertex is therefore (h,k) = (2,2)

The value of 'a' has no role in the vertex's location. This value determines how vertically stretched or compressed the parabola will be. Also, it determines if the parabola opens upward or downward (a > 0 for upward; a < 0 for downward).

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Graph each absolute value function. State the domain, range, and y-intercept.

Inessa05 [86]

Answer:

i. D:All real numbers

ii.R: $y\le-2$

iii. Y-int: $b=-2.5$

Step-by-step explanation:

The given function is

$y=-\frac{1}{2} |x-1|-2$

The domain of this function are the values of x that makes the function defined.

The absolute value function is defined for all real values.

The domain is all real numbers.

ii. The range refers to the values of y for which x is defined.

$y=-\frac{1}{2} |x-1|-2$

The vertex of this function is

$(1,-2)$

The function is reflected in the x-axis.

The vertex is therefore the maximum point on the graph of the function.

The range is therefore;

$y\le-2$

Or

$(-\infty,2]$

iii. To find the y-intercept, we substitute $x=0$ into the funtion.

$y=-\frac{1}{2} |0-1|-2$

$y=-\frac{1}{2} (1)-2$

$y=-2.5$

The y-intercept is $b=-2.5$

The graph is shown in the attachment.

3 0

3 years ago

Steph took out a simple interest loan that charges 8.5% interest annually. If her original loan amount was for $30,000 and she i

vazorg [7]

Answer:

$81,000

Step-by-step explanation:

A = Final Payment = ?

P = Principal Amount = $30,000

r = Interest Rate = 8.5%

t = Time = 20 Years

A = P(1 + rt)

A = 30,000(1 + 0.085 x 20)

A = 30,000 + 51000

A = $81,000

Hence, Steph will pay $81,000 altogether.

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3 years ago

What would be the scientific notation of 10,200?

larisa86 [58]

It would be 1.02x10^4

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3 years ago

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Varvara68 [4.7K]

Answer:

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3 years ago

Need help with 50-51,thanks!

aleksley [76]

Well I don't know how to show work on this one.

50. 2 3/4 is between 2 and 3, three times farther from two than three. Draw a dot in approximately that locations and mark it 2 3/4.

51. 4 1/3 is between 4 and 5, twice as far from five as from four. Draw a dot and mark it 4 1/3.

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3 years ago