What type of function is f(x) = 2x + 3

It is a positive linear function.

Step-by-step explanation:

If you were to graph the equation, it would show up as a diagonal line raising from the negative end of the graph to the positive end. This is because it contains a positive number being multiplied by x, making the function positive, and it contains no exponent, making it linear.

175

step-by-step explanation:

2 inches x 10 miles = 200 miles - 3 inches = 175

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