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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? 4 units to the left 4 units to the right 8 units to the left 8 units to the right

Verified Answer :

calculista

we have

\(y=2(x-15)^{2}+3\)

this is the equation of a vertical parabola open up with vertex at point \((15,3)\)

\(y=2(x-11)^{2}+3\)

this is the equation of a vertical parabola open up with vertex at point \((11,3)\)

so

the rule of the translation is

\((x,y)---------> (x-4,y)\)

that means

the translation is \(4\) units to the left

therefore

the answer is

\(4\) units to the left

The phrase best describes the translation from the graph is 4 units to the left.

Given

The translation from the graph \(\rm y = 2(x-15)^2+ 3\) to the graph of \(\rm y = 2(x -11)^2+ 3\)

What is the phrase?

A small group of words standing together as a conceptual unit, typically forming a component of a clause:

The translation from the graph;

\(\rm y = 2(x-15)^2+ 3\)

The equation of a vertical parabola opens up with vertex at point (15, 3).

The translation from the graph \(\rm y = 2(x-15)^2+ 3\) to the graph of \(\rm y = 2(x -11)^2+ 3\)

The equation of a vertical parabola opens up with vertex at point (11, 3).

The h is a horizontal translation of h units.

For h > 0, move right

For h < 0, move left

The rule of the translation is;

\(\rm (x, \ y) =\) \(\rm (x, \ y+4)\)

Hence, the phrase best describes the translation from the graph is 4 units to the left.

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