Need quick 1) what will the range values be for the function f(g) = 3g - 5 for the domain {-1.5, 2, 4}? show your work! 2) suppose a van gets 22 mi/gal. the distance traveled d(g) is a function of the gallons used. the rule d(g) = 22g should be used for all 3 parts. part a: how far did the van travel if it used 10.5 gallons of gas? show your work ! part b: how far did the van travel if it used 20 gallons of gas? show your work!

see attached picture for the answers

∞ this is your sign

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