The graph of h is a translation 8 units up and 3 units right of the graph of f(x)= x^2 −3x . for each value of x, g(x) is 125% of h(x). write a rule for g .

Using translation concepts, it is found that the rule for g is given by:

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Which is the rule for g.

A similar problem is given at link

You make such translations with graph of the function

If for each value of x, g(x) is 125% of h(x), then you should multiply the function h(x) by coefficient 1.25, then

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this shows a reflection over the x-axis and is translated one unit down and 6 units to the right (x + 6, y - 1)

hope this !

~just a girl in love with shawn mendes

< xcy ≅ < xby

step-by-step explanation:

in δcax and δbax,

so, δcax ≅ δbax (side-angle-side or sas)

since δcax ≅ δbax, we can conclude < acx ≅ < abx

in δacy and δaby,

so, δacy ≅ δaby (side-angle-side or sas)

since δacy ≅ δaby, we can conclude < acy ≅ < aby

now,

< acy ≅ < aby

=> < acx + < xcy ≅ < abx + < xby

=> < acx + < xcy ≅ < acx + < xby   (since < acx ≅ < abx already proved above)

subtracting < acx from both sides, we get

< acx + < xcy -< acx ≅ < acx + < xby -< acx

cancelling out < acx and -< acx from both sides, we get

< xcy ≅ < xby (proved)