Given f(x)=af[b(x-h)]+k, why does the graph stretch horizontally by a factor of 1/b, but not by a factor of b?

Given f(x)=af[b(x-h)]+k, why does the graph stretch horizontally by a factor of 1/b, but not by a factor of b?

2(y+2)=f(-x) to y=f(x), or isolating y. If I start by dividing 2 on both sides, does it only account for the y value?

(1) Original Equation : S(x)=x^4+2x^3+5 What is the new equation of the original function S(x) if its transformation is Dilation (reduced)...

Part I : The graph of F(x), shown below, resembles the graph of , but it has been flipped over the x-axis,stretched vertically by a factor of 3, shifted down 4 units, and left 1 unit. Part...

Two search parties start at the courthouse steps where a missing girl was last seen. Party A travel north 4 blocks and east 8 blocks. Party B travels with 5 blocks and south 3 blocks. How many blocks...

Answer with work please

PARACHUTING Two parachutists jump at the same time from two different planes as part of an aerial show. The height h1of the first parachutist in feet after t seconds is modeled by the function...

it a transformation in geometry

Please explain if you can.

g(x)=1/2f(-x-4)-3

Jade is working on a puzzle for a company who makes games. She is working on a program that uses transformations to move the puzzle shown by TRIANGLE ABC into the target area shown by TRIANGLE DEF...

Choose the correct letter. Explain. a. g(x) and f(x) have the same y-intercept. b. g(x) is the graph of f(x) translated 5 units to the left.

The graph of y=lxl is translated 2 units left, a vertical stretch by a factor of 3.5, and down two units. What is the equation of the new graph?

1. Write a function f(x) that represent a gym membership cost of $20 per month for x months. 2. Explain how a fee increase of 25% can be represented for the gym membership...

Write an equation for g(x), a translation of f(x) 4 units to the right and 3 units down. Choose the correct letter! A. g(x) = f(x + 4) + 3 B. g(x)...

Given a polygon with vertices Q(-6,11) U (14,23) A(18,-5) and D (-8,-8) what are the coordinates under S(3/8) please walk me through how to do this problem. I do not know how to do it

I was asked to reflect a triangle over the x axis and I did. Then it asked me to write the function that describes the transformation • f(x,y) • My triangle only reflected 2 up so (y+2) but didn't...

y=f(x) , y=g(x) f(x)=x^2 and g(x)=-x^2+6x-13 the graph of y=g(x) can be obtained by from the graph y=f(x) by first reflecting the graph of y=f(x) and then translating the graph of y=f(x) describe...

I don't know where to start or how to make it into one transformation, I don't know if it is one reflection, translation, or rotation, please Help.

Please help me turn the Reflection and Translation into one Translation, Reflection, or Rotation.