Write the equation g(x) of the transformation of the parent graph f(x) = |x| stretched vertically by a factor of 4 and translated up 2 units.

g(x) = 4|x| +2

Step-by-step explanation:

f(x) = |x|

y = f(x) + C  C > 0 moves it up

g(x) = |x| +2 moves it up 2 units

y = Cf(x)  C > 1 stretches it in the y-direction

g(x) = 4|x| +2 stretch by 4

We start off with: f(x) = |x|

c > 0 means move up

y = f(x) + c

2 units up

After: g(x) = |x| + 2

c > 1 means y-direction stretch

y = cf(x)

4 unit stretch

After: g(x) = 4|x| + 2

Best of Luck!

c - they will have the same distribution

step-by-step explanation:

this is the only one that could make sense. : )

c. 27 units.

step-by-step explanation:

we are told that in circle a, ∠bae ≅ ∠dae.

we can see from our given diagram that in and ;

, as these are radii of our given circle.

therefore, by sas congruence postulate.

hence, side be will be equal to side de as corresponding parts of congruent triangles are congruent. so we can set an equation to find the value of x as:

now let us substitute x=17 in the expression for the length of be.

therefore, length of be will be 27 units and option c is the correct choice.