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Mathematics 22 Online
OpenStudy (vera_ewing):

Pre-calculus question

OpenStudy (anonymous):

h(x)= (x+5)^2

OpenStudy (vera_ewing):

Is that correct? @Nnesha ^^

Nnesha (nnesha):

`f(x−h)` here h is horizontal shift `f(x) + k` here k is vertical shift y=a(x-h)^2+k if h is negative graph will shift h unit to the right if h is positive graph will shift h unit to the left if k is positive graph shift k unit p if k is negative some unit down now look at the graph is it going up down left or right ?

Nnesha (nnesha):

|dw:1444354606202:dw|btw this is the parent function :=)

OpenStudy (vera_ewing):

It's going left

Nnesha (nnesha):

right so h should be negative or positive ?

OpenStudy (anonymous):

It ends up being (x-(-5)^2 though which makes it positive (x+5)^2

OpenStudy (vera_ewing):

Negative

Nnesha (nnesha):

right but the short cut is if its going left then sign should be positive and if it's going right then h should be negative (opposite ) and bec it's horizontal shift so number should inside the parentheses :=)

OpenStudy (vera_ewing):

(x+5)^2 So this is the answer? @Nnesha

Nnesha (nnesha):

right going left so `h` should be positive and h is horizontal shift should be inside the parentheses \[\rm y= a(x-\color{reD}{h})^2+k\] :=)

OpenStudy (vera_ewing):

Ok thanks!!!

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