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2 years ago

If the graph of f(x) = x is shifted up 7 units, what would be the equation of the new graph?

Mathematics

2 answers:

anzhelika [568]2 years ago

7 0

The new equation is given by adding <em>7</em> to the original equation.

Response:

The new equation is; <u>f(x) = x + 7</u>

<h3>Which methods can be used to find the new equation?</h3>

The given function is f(x) = x

The value by which the graph is shifted up = 7

Required:

The new equation of the graph.

Solution:

The equation, f(x) = x is an equation for a straight line

f(x) = m·x + c

Where;

c = The y-intercept = 0

m = The slope where in the given equation, m = 1

By comparing with the general equation for a straight line, f(x) = mx + c to

the given equation, we have;

The y-intercept, c = 0

When the graph is shifted up 7 units, we have;

c = 0 + 7 = 7

The slope will remain the same, m = 1

The new equation is therefore;

f(x) = 1·x + 7

Which gives;

<u>f(x) = x + 7</u>

Learn more about the equation of a straight line here:

brainly.com/question/4090732

Maslowich2 years ago

3 0

If the graph of x is shifted 7 units up, the equation of the new graph would be: f(x) = x +7.

<h3>Transformations in graphs</h3>

According to the question:

The given equation is: f(x) = x

On this note, when the graph of the equation is shifted 7 units up, it follows that every f(x) value of the graph increases by 7 units.

Hence, the equation of the new graph is; f(x) = x +7.

Read more on transformation of graphs;

brainly.com/question/26092237

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To me, do the math using compatible number, means to estimate
7233 can round to 8000
and 84 can round to 80
now, this makes it easy, you can do it mentally, which is 100

In more detailed,
7233 can round to 7225
and 84 can round to 85
then, (not so obvious, but however) 85 times 85 equal 7225

so the compatible number of 7233 divided by 84, is 7225 and 85

I know it's a bit late, but hope it helps

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