exam Maths Puzzle Numerical Ability

Given y=3x^2+6x

Please explain the process in steps. Thanks!

A.) find the y-intercept
B.) find the x-intercepts (if any)
c.) find the vertex
D.) Sketch the parabola.

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exam Other Question

Verify that (-1,3) is a solution to y=(-1/2)x+(5/2)
Could you also please show how you got it.
Thank you
Solve the following system of linear inequalities by graphing.
x + y < 5
0 <= y <= 3
x >= 1