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Vanyuwa [196]
3 years ago
10

Which equation below is a quadratic function translated up 5 units?

Mathematics
1 answer:
slavikrds [6]3 years ago
6 0

Answer:

y=x2 + 5

Step-by-step explanation:

A quadratic function is where the graph is in the shape of a "U" or parabola.

An example of a quadratic function if the form: y= ax^2+bx+c

What all formulas have in common is that at the end of the equation there will be a variable with no x paired with it( aka the y-intercept; the 'c' equivalent in the example formula i gave ), this letter is what tells the graph to move up or down the y-axis.

So in the answers given, ask yourself, " is there any y-intercept? And if so, is it plus 5?"

** plus 5 is the graph moving up 5 units on the y-axis

And you'd find the first answer is the only equation with a y-inter.

** side note: In y = (x + 5)^2, the 5 isn't a y-inter. bc it's inside the parenthesis. Numbers in the para. (like 5) tells the graph to move left or right ( if it is a "-" it's right and "+" is left)

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An electrician charges $40 to come to your house.She also charges $55for each that she works. The electrician charges you total
shusha [124]

Answer:

Step-by-step explanation:

First, write an equation. 55x+40=190.

X represents the hours the electrician works. The 55 represents the $55 that she charges for each hour she works. The +40 for the $40 that was the price just to come to your house. The 190 is the total cost. Now, solve that equation.

55x+40=190

55x=150

x=2.72727272...

So the answer is 2.727 hours. It can be rounded as needed or turned into a decimal, 2 8/11.

5 0
3 years ago
Consider the inverse function. which conclusions can be drawn about f(x) = x2 2? select three options.
Elodia [21]

The function has a y-intercept at (0, 2). Then the correct options are A, B, and E.

The complete question is attached below.

<h3>What is the maximum and minimum value of the function?</h3>

The condition for the maximum will be

f"(x) < 0

The condition for the minimum will be

f"(x) > 0

Consider the inverse function.

f⁻¹(x) = -√(x - 2)

Then the conclusion of the function f(x) = x² + 2 will be

Differentiate the function, then we have

f ' (x) = 2x

Again differentiate, then we have

f" (x) = 2

f" (x) > 0

Then the function has a minimum value at (0, 2)

The function has a y-intercept at (0, 2)

Then the correct options are A, B, and E.

More about the maximum and minimum value of the function link is given below.

brainly.com/question/13581879

#SPJ1

5 0
2 years ago
You are making numbers to hang outside the classrooms in your school.
Oksanka [162]

Answer:

0- 11 times

1,2,3,4,5,6,7,8,9- 12 times

5 0
3 years ago
The graph of y =(x-3)^2 is shifted left 4 units and down 2 units. What is the axis of
Naddik [55]

Answer:

x = -1

Step-by-step explanation:

The axis of symmetry of the graph y=(x-3)^2 is  x=3 but,

If shift the graph 4 units to the left it would mean the new value of x would be -1 as shown here:

x=3-4\\x=-1

-4 because it shifted 4 units to the left so the axis of symmetry of the transformed graph would be x = -1 and since it shifted 2 units down the y-coordinate of the turning point would be -2 so the turning point of the original graph is (3 , 0) and the turning point of the transformed graph is

(-1 , -2) I attached an image so you can visualize clearly

7 0
3 years ago
Which of the following is 1/6 closest to? a 1/2 b 1 c 0​
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