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2 years ago

Point Q' (3,2) is the image of Q (6,4) under a translation

Mathematics

2 answers:

Inga [223]2 years ago

8 0

Answer:

Q translated 3 units to the left and 2 units downs makes Q'.

Step-by-step explanation:

The translation of Q(6,4) 3 units to the left gives you x-coordinate: 6 - 3 = 3 and the translation 2 units downs gives you y-coordinate: 4 - 2 = 2, that makes the point Q'(3,2) .

maks197457 [2]2 years ago

6 0

$x-value= 6-3= 3$ Find the x-value difference

$y-value=4-2=2$ Find the y-value difference

*(The Answer)*= The translation is the point shifted 3 units to the right and 2 units up.

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In exponential models there is a constant multiplicative rate of change.

The function of the graph seems of the exponential type, so we can expect a constant multiplicative exponential rate.

We can test that using several pair of points.

The multiplicative rate of change is calcualted in this way:

[f(a) / f(b) ] / (a - b)

Use the points given in the graph: (2, 12.5) , (1, 5) , (0, 2) , (-1, 0.8)

[12.5 / 5] / (2 - 1) = 2.5

[5 / 2] / (1 - 0) = 2.5

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Then, do doubt, the answer is 2.5

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$r= \frac{-20}{4}$
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Now that we have the common ratio, lets find the explicit formula of our sequence. To do that we are going to use the formula: $a_{n}=a_{1}*r^{n-1}$ . We know that $a_{1}=4$ ; we also know for our previous calculation that $r=-5$ . So lets replace those values in our formula:
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