I'll give brainliest if answered within 10 minutes

rewrite the following quadratic function in vertex form. then, determine the axis of symmetry.

y = 5x^2 + 15x - 2

5x^2+15x-2

5(x^2+3x)-2

5(x^2+3x+2.25-2.25)-2

5(x^2+3x+2.25)-13.25

5(x+1.5)^2-13.25

final y=5(x+1.5)^2-13.25

axis of symmetry: (1.5, 13.25)

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.