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?

Write an equation for line L in point-slope form and slope-intercept form. L is perpendicular to y=5x. Lines intersect at (-1,-5).

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...

Thanks for the help :- )

The graphs of f(x) and g(x) are shown below: F(x) is a parabola with a minimum of -12, and its zeros are -3 and 4. G(x) is a straight line and the y-intercept is 0.4. It intercepts f(x)...

Please explain how to do it and thanks.

Let G = (V,E) be a graph on 11 vertices. How many nonempty induced subgraphs (including G itself) does G have?

Find the vertical and horizontal asymptotes of the hyperbola y= (x-2)/(x-4) and hence sketch the graph.

serena is the manager of the coffee shop. The amount of money she earns is represented by the equation m=12h, where h is the number of hours Serena works, and m is the amount of money she earns. How...

This has to do with linear graphs and functions but i don't understand how y can= 0 and x if x=4

Fortunately, a river provides the northern and western borders of the paddock, so the fence only needs to be placed along the eastern and southern sides. If the farmer only has 300...

Container for cake pieces ) A manafacture supplies bakery treats with closed boxes . A right prism of height h cm. The cross section is a sector of a circle with radius r cm and angle 1 radian...

1. If a function is multiplied by a coefficient, what will happen to the graph of the function? 2. What does multiplying x by a number greater than one create? 3. What happens when we multiply...

graph and slope

Acme Business Company has two skill levels of production workers. A level I worker is paid $10.60 an hour and produces 15 items per hour. The level II worker is paid $14.25 per hour and produces 22...

A survey about the student government program at a school finds the following result: 190 students like the program 135 students dislike the program 220 students plan...

write down the equations of the lines that are parallel to: a) 2y=5x+7, passing through (0,-3.5) b) 7x+6y=13, passing through (6,7) thanks...

Write down the equations of the lines with a gradient of 1/4, passing through (4,2)

there is a graph that shows how the depth of a submarine increased as it dove beneath the ocean surface. Point x represents the time in seconds and point y represents the depth in meters. The graph...

Still don't understand after class.

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