-2(x+1)^2+3

Question

How do I graph this 

Answer 1

if y = -2(x+1)²+3, then you should know that this is a transformation of y = x²

 

1.  shift the vertex (and the entire parabola) LEFT 1 unit

2.  vertically stretch by a factor of 2, making the parabola 'tighter' (every y value is doubled)

3.  reflect the parabola in the x-axis, to accommodate the negative sign (every y value changed sign)

4.  translate everything upward by 3 units.

 

This process has probably been the topic of recent lectures/lessons in your class, and you need to capture that knowledge.