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12345 [234]
2 years ago
9

Is this employee correct? please help and explain your thinking.

Mathematics
1 answer:
e-lub [12.9K]2 years ago
7 0

Answer: yes it is

Step-by-step explanation:

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How do I solve question 6 through 8?<br> Solve for me
rewona [7]

The equations of the functions are y = -4(x + 1)^2 + 2, y = 2(x - 2)^2 + 1 and y = -(x - 1)^2 - 2

<h3>How to determine the functions?</h3>

A quadratic function is represented as:

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

<u>Question #6</u>

The vertex of the graph is

(h, k) = (-1, 2)

So, we have:

y = a(x + 1)^2 + 2

The graph pass through the f(0) = -2

So, we have:

-2 = a(0 + 1)^2 + 2

Evaluate the like terms

a = -4

Substitute a = -4 in y = a(x + 1)^2 + 2

y = -4(x + 1)^2 + 2

<u>Question #7</u>

The vertex of the graph is

(h, k) = (2, 1)

So, we have:

y = a(x - 2)^2 + 1

The graph pass through (1, 3)

So, we have:

3 = a(1 - 2)^2 + 1

Evaluate the like terms

a = 2

Substitute a = 2 in y = a(x - 2)^2 + 1

y = 2(x - 2)^2 + 1

<u>Question #8</u>

The vertex of the graph is

(h, k) = (1, -2)

So, we have:

y = a(x - 1)^2 - 2

The graph pass through (0, -3)

So, we have:

-3 = a(0 - 1)^2 - 2

Evaluate the like terms

a = -1

Substitute a = -1 in y = a(x - 1)^2 - 2

y = -(x - 1)^2 - 2

Hence, the equations of the functions are y = -4(x + 1)^2 + 2, y = 2(x - 2)^2 + 1 and y = -(x - 1)^2 - 2

Read more about parabola at:

brainly.com/question/1480401

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5 0
2 years ago
How to solve number 2
VLD [36.1K]
Answer................:8x^2-2x-1
3 0
3 years ago
Read 2 more answers
When 3 times the number x is subtracted from 20, the result is 14. What number results when 4 times x is added to 5?​
Vladimir [108]

Answer:

50.3

Step-by-step explanation:

I think

3 0
3 years ago
How do I solve this? help please! xx
Anna35 [415]
This graph is composed of four straight line segments.  You'll need to determine the slope, y-intercept and domain for each of them.   Look at the first segment, the one on the extreme left.  Verify yourself that the slope of this line segment is 1 and that the y-intercept would be 0 if you were to extend this segment all the way to the y-axis.  Thus, the rule (formula, equation) for this line segment would be f(x)=1x+0, or just f(x)=x, for (-3,-1).  Use a similar approach to write rules for the remaining three line segments.

Present your answer like this:
               x, (-3,-1)
f(x) =      -1, (-1,0)
               one more here
               one more here

5 0
3 years ago
Y = f(x) = 16x Find f(x) when x = 1/2​
Alina [70]

Answer:

The answer depends on what the problem really is.

f(1/2) = 8

or

f(1/2) = 4

See below.

Step-by-step explanation:

This is the problem as it was posted:

y = f(x) = 16x

Let x = 1/2

y = f(1/2) = 16(1/2) = 8

Perhaps the problem is this:

y = f(x) = 16^x

If x is an exponent of 16 and not a factor, then the answer is:

y = f(\frac{1}{2}) = 16^\frac{1}{2} = \sqrt{16} = 4

5 0
3 years ago
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