1) write the equation of the function with parent function, f(x)=x^2 that is shifted 2 units right , reflected about the x-axis, and shifted 3 units up .
2) write the equation of the function with parent function, f(x)=1/x, that is reflected about the x-axis, has a vertical stretch of 3, and shifted 2 units up.

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is

graph b

step-by-step explanation:

one solution- graph a (clear intercepting point.)

no solution- graph b (they're parallel, there will never be a point of interception.)

infinite solutions- graph c (all points intercept.)

need more detail

step-by-step explanation:

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