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3 years ago

How does using models to find 2.4 - 1.07 is similar to using models to find 240 - 107.

Mathematics

1 answer:

Nastasia [14]3 years ago

3 0

Answer:

Basically, because when you want to find the difference between 2.4 and 1.7 using models, you take away the same amount of squares as if you were finding the difference between 240 and 170 using models.

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3 years ago

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3 years ago

The graph of y=√x is shifted 2 units up and 5 units left, Which equation represents the new graph?

Zinaida [17]

y = √(x + 5) + 2

<h3>Further explanation</h3>

<u>Given:</u>

The graph of $y = \sqrt{x}$ is

shifted 2 units up, and
5 units left.

<u>Question:</u>

Which equation represents the new graph?

<u>The Process:</u>

The translation is a form of transformation geometry.

Translation (or shifting): moving a graph on an analytic plane without changing its shape.

In general, given the graph of y = f(x) and v > 0, we obtain the graph of:

$\boxed{ \ y = f(x) + v \ }$ by shifting the graph of $\boxed{ \ y = f(x) \ }$ upward v units.
$\boxed{ \ y = f(x) - v \ }$ by shifting the graph of $\boxed{ \ y = f(x) \ }$ downward v units.

That's the vertical shift, now the horizontal one. Given the graph of y = f(x) and h > 0, we obtain the graph of:

$\boxed{ \ y = f(x + h) \ }$ by shifting the graph of $\boxed{ \ y = f(x) \ }$ to the left h units.
$\boxed{ \ y = f(x - h) \ }$ by shifting the graph of $\boxed{ \ y = f(x) \ }$ to the right h units.

Therefore, the combination of vertical and horizontal shifts is as follows:

$\boxed{\boxed{ \ y = f(x \pm h) \pm v \ }}$

The plus or minus sign follows the direction of the shift, i.e., up-down or left-right.

- - - - - - - - - -

Let's solve the problem.

Initially, the graph of $y = \sqrt{x}$ is shifted 2 units up.

$\boxed{y = \sqrt{x} \rightarrow is \ shifted \ 2 \ units \ up \rightarrow \boxed{ \ y = \sqrt{x} + 2 \ }}$

Followed by shifting 5 units left.

$\boxed{y = \sqrt{x} + 2 \rightarrow is \ shifted \ 5 \ units \ left \rightarrow \boxed{ \ y = \sqrt{x + 5} + 2 \ }}$

Thus, the equation that represents the new graph is $\boxed{\boxed{ \ y = \sqrt{x + 5} + 2 \ }}$

The answer is A.

<h3>Learn more</h3>

Which phrase best describes the translation from the graph y = 2(x – 15)² + 3 to the graph of y = 2(x – 11)² + 3? brainly.com/question/1369568
The similar problem of shifting brainly.com/question/2488474
What transformations change the graph of (f)x to the graph of g(x)? brainly.com/question/2415963

Keywords: the graph of, y = √x, shifted 2 units up, 5 units left, which, the equation, represents, the new graph, horizontal, vertical, transformation geometry, translation