Question

Heather is going to graph y= -3x^2 +3. How is the parent graph transformed

Answer 1

Well compared to the parent function x^2, the graph of y=-3x^2+3 is flipped upside down (negative sign), steeper, and is up 3 units from the origin.

Answer 2

The parent graph is transformed by a vertical stretch by a factor of 3, followed by a reflection across the x-axis and a shift up by 3 units

How is the parent graph transformed

From the question, we have the following parameters that can be used in our computation:

y = -3x² + 3

The above function is a quadratic function that has been transformed as follows

First: Vertically stretched by a factor of 3

So, we have

y = -x²

Next, it is reflectect across the x-axis

So, we have

y = -3x²

Lastly, it is shifted up by 3 units

So, we have

y = -3x² + 3