I'm giving a ton of points! answer! due very soon and i'm stuck!

The y intercept is obtrained from the original equation. Let x = 0

y = (0)^2 + 30(0) + 382

y = 382 when x = 0

y_intercept = (0,382)

Take out 3/5 from the first 2 terms.

5/3 * 30 = 50

The 382 goes outside the brackets.

y = 3/5(x^2 + 50x) + 382                         Take 1/2 of 50 and indicate it is squared.

y = 3/5(x^2 + 50x + 25^2) + 382               Multiply 3/5 * 25^2 and subtract after the 382

y = 3/5(x^2 + 50x + 25^2) + 382 - (3/5)625  Make the square and combine

y = 3/5(x + 25)^2 + 382 - 375

y = 3/5(x + 25)^2 + 7

Vertex (-25,7) ; y_intercept 382

A

x=17

step-by-step explanation:

solve 3x-24=x+10

then that makes it 2x=34 because you subtract an x from both sides to get rid of the one on the right, and then you add 24 to both sides to get rid of the 24 on the left

divide by both sides by 2 to get your answer so that you can get your answer

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1