Fahrenheit temperature f is a linear function of celsius temperature c. the ordered pair left parenthesis 0 comma 32 right parenthesis(0,32) is an ordered pair of this function because 0°c is equivalent to 32 degrees upper f32°f, the freezing point of water. the ordered pair left parenthesis 100 comma 212 right parenthesis(100,212) is also an ordered pair of this function because 100 degrees upper c100°c is equivalent to 212 degrees upper f212°f, the boiling point of water. use the two given points and the point-slope formula to write f as a function of c. find the fahrenheit temperature of an oven at 130 degrees upper c130°c.

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1

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step-by-step explanation:

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