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creativ13 [48]
3 years ago
9

What effect will replacing x with (x+7) have on the graph of the equation y=x^2?

Mathematics
1 answer:
lidiya [134]3 years ago
4 0

Answer:

D

Step-by-step explanation:

Solution:-

- The given question pertains to the translation of a function f ( x ) over the cartesian coordinate system.

- There are certain guidelines that must be followed when performing any translations of any function f ( x ).

<u>Translation Guideline</u>

  Vertical shifts

  • Up: f ( x ) - > f ( x ) + b
  • Down: f ( x ) - > f ( x ) - b

  Horizontal shifts

  • Left: f ( x ) - > f ( x + a )
  • Right: f ( x ) - > f ( x - a )

Where, " a " and " b " are constants for respective horizontal and vertical shifts.

- We can make a generalized form of the translated function f ( x ) to f* ( x ) as follows:

 Generalized shift: f ( x ) - > f ( x ± a ) ± b

 

Where,   a: Unit of horizontal shift

               b: Unit of vertical shift

- We are given a function f ( x ) defined. We are to replace the variable ( x ) with ( x + 7 ).

                          f ( x ) = x^2\\\\f^*(x) = f ( x + 7 ) = (x + 7 )^2

- Use the above given guidelines to determine the type of shift. Take a look at the Left shift in the horizontal shift section.

- Left shift : f ( x ) -> f ( x + a ) = f ( x + 7 )

Answer: The function f ( x ) is slided a = 7 units to the left!              

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Jose earns a weekly salary of $322. How much does he make in 44 weeks?
ioda

Answer:

14168

Step-by-step explanation:

322 x 44 = 14168

hope this helps!

3 0
2 years ago
The total age of diana, carmen , and andrew is 45. diana is 21,and andrew is twice as old as carmen. how old is andrew
MissTica
Diana's age=21 years
Carmen's age=x years
Andrew's age=2x years
21+x+2x=45
21+3x=45
3x=45-21
3x=24
x=24/3
x=8
2x8=16
Carmen is 8 years old and Andrew is 16 years old. Hoped that helps:)
8 0
3 years ago
I need some help with this calculus question
Over [174]

The tangent to y at the point (0, 5) has a slope equal to the derivative evaluated at x=0.

y=x^4+5e^x\implies y'=4x^3+5e^x\implies y'(0)=5

This tangent passes through the point (0, 5), so its equation is

y-5=5(x-0)\implies y=5x+5

The normal line passes through the same point, but is perpendicular to the tangent line, so its slope is the negative reciprocal of the slope of the tangent. So the equation for the normal line is

y-5=-\dfrac15(x-0)\implies y=5-\dfrac x5

3 0
3 years ago
What is the ratio 14 : 56 in its simplest form?
elena55 [62]
1/4 is the simpliest
5 0
3 years ago
Read 2 more answers
Find two conservative integers whose sum is 67
Charra [1.4K]
Answer:I got 33 and 34

Explanation:

Call your integers n and n+1 we get:

n+n+1= 67

rearrange:

2n = 66

n=66/2 = 33

The integers will be 33 and 34
7 0
3 years ago
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