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ycow [4]
3 years ago
12

1. How are the functions y = x and y = x - 3 related? How are their graphs related? (1 point)

Mathematics
1 answer:
aleksklad [387]3 years ago
7 0

Answer:

Each output for y = x - 3 is 3 less than the corresponding output for y = x

The graph of y = x - 3 is the graph of y = x translated down 3 units ⇒ 3rd

answer

Step-by-step explanation:

- If the function f(x) translated vertically down  by k units, then the image

  of the function is g(x) = f(x) – k

- Remember: x is the input and y is the output of the function

∵ y = x

∵ y = x - 3

- That means the output of the first function (y) is subtracted by 3

∴ y = x is the parent function of y = x - 3

∴  y = x - 3 is the image of the function y = x by translation

   3 units down

* Each value of y in the function y = x - 3 is 3 less than

  the value of corresponding y in the function y = x

∵ The graph of the function y = x passing through the origin point (0 , 0)

- When we subtract from the y-coordinate of the origin 3 the new point

  will be (0 , -3)

∴ The graph of the function y = x -3 intersect the y-axis at point (0 , -3)

* The graph of y = x - 3 is the graph of y = x translated 3 units down

The answer is:

Each output for y = x - 3 is 3 less than the corresponding output for

y = x

The graph of y = x - 3 is the graph of y = x translated down 3 units.

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Radda [10]

Answer:

second option

Step-by-step explanation:

Given

x^{4} + 6x² + 5 = 0

let u = x², then

u² + 6u + 5 = 0 ← in standard form

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Equate each factor to zero and solve for u

u + 1 = 0 ⇒ u = - 1

u + 5 = 0 ⇒ u = - 5

Change u back into terms of x, that is

x² = - 1 ( take the square root of both sides )

x = ± \sqrt{-1} = ± i ( noting that \sqrt{-1} = i ), and

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3 years ago
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Rina8888 [55]

Answer:

The equation of the line is

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Step-by-step explanation:

Equation of a line is

y = mx + c

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c is the y intercept

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Comparing with the above formula

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Since the lines are perpendicular the slope of the other line is the negative inverse of the original line .

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y - 2 = -1/2x + 1/2

y = -1/2x + 1/2 + 2

The final answer is

y =   - \frac{1}{2} x +  \frac{5}{2}

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