How is the graph of 𝑦 =− 2𝑥squared+ 5 different from the graph of 𝑦 =− 2𝑥squared? How does this difference transform the graph of each quadratic?
The graph of 𝑦 =− 2𝑥^2+ 5 has a vertical shift upward by 5 units compared to the graph of 𝑦 =− 2𝑥^2.
This difference transforms the graph of each quadratic by shifting the entire graph upward by 5 units. This means that for every value of x, the y-coordinate of the new graph will be 5 units higher than the corresponding y-coordinate of the original graph.
Visually, the graph of 𝑦 =− 2𝑥^2+ 5 will be the same as the graph of 𝑦 =− 2𝑥^2, but shifted upward by 5 units.