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Bumek [7]
2 years ago
14

if the graph of f(x)=x^2 is shifted 4 units to the left, then what would be the equation of the new graph?​

Mathematics
1 answer:
Alecsey [184]2 years ago
3 0

Answer:

Step-by-step explanation:

Be careful. You can be confused by shifting left or right because the result is the opposite of what you might think.

f(x) = x^2

f(x + 4) = (x + 4)^2

To show you this in graphical form, see below.

Red: f(x) = x^2

Blue: f(x) = (x+4)^2 Notice that the blue graph is the the LEFT of the red graph

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What is the product of (2x+3) and (4x^2-6x+9)?​
gogolik [260]

Answer:

=8x^3+27

Step-by-step explanation:

First you are going to multply 2x by all of the other numbers in the 2nd parentheses, then do the same with 3. By doing this you should get and answer then combine like terms.

4 0
3 years ago
Find the total area of the entire figure. *
bonufazy [111]

Answer:

392.5 in²

Step-by-step explanation:

This figure is consists of a trapezium and a rectangle.

So, to find the total area of the figure you have to find the area of the trapezium and the rectangle separately  and add them together.

Let us find now.

<u>Area of the Trapezium</u>

Area = \frac{1}{2} × ( sum of the parallel sides ) × height

Area = \frac{1}{2} × (  9 + 20 ) × 5

Area = \frac{1}{2} × 29 × 5

Area = \frac{1}{2} × 145

Area = 72.5 in²

<u>Area of the rectangle</u>

Area = Length × Width

Area = 20 × 16

Area = 320 in²

<u>Total area of the figure</u>

Total area = Area of the trapezium + Area of the rectangle

Total area = 72.5 in² + 320 in²

Total area = 392.5 in²

Hope this helps you :-)

Let me know if you have any other questions :-)

6 0
2 years ago
Sixty percent of those who attended the soccer game were parents. There were 120 people who attended the soccer game. How many p
iren [92.7K]

Answer: 48, 25%, 125 , 60,  80

Step-by-step explanation:

7 0
2 years ago
Plzzzz need answers​
earnstyle [38]

Answer:

1. (x,y)→(y,-x)

2. (x,y)→(-y,x)

3. (x,y)→(-x,-y)

Step-by-step explanation:

1. Rotation 90° clockwise (or 270° counterclockwise) about the origin changes x into y and y into -x, so it has the rule

(x,y)→(y,-x)

2.  Rotation 90° counterclockwise (or 270° clockwise) about the origin changes x into -y and y into x, so it has the rule

(x,y)→(-y,x)

3.  Rotation 180° clockwise  about the origin changes x into y and y into -x, so it has the rule

(x,y)→(-x,-y)

Here you can apply rotation by 90° clockwise twice, so

(x,y)→(-y,x)→(-x,-y)

3 0
3 years ago
Charlie wants to make a one-time investment in an account that earns 4% interest compounded quarterly. To earn $315,930 after 21
KIM [24]

Answer:

B.  $136,960.54

Step-by-step explanation:

Rate = r = 4%

Times = b = 4

Future Value = A = $315,930

No. pf Years = n = 21

Present Value = P = ?

A = P [1 + (r / b)]ⁿᵇ

$315,930 = P [1 + (0.04 / 4]²¹ ˣ ⁴

$315,930 = P [1 + 0.01]⁸⁴

$315,930 = P [1.01]⁸⁴

$315,930 = P x 2.306723

P = $315,930 / 2.306723

P = $136,960.54

8 0
3 years ago
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