# Which phrase best describes the translation from the graph y = 2x^{2} to the graph of y = 2x^{2} + 5?

**Solution:**

Given y = 2x^{2 }and y = 2x^{2} + 5

Consider sample values of x, y to find the translation.

Plot both the graphs.

x | -1 | 0 | 1 | 2 | 3 | 4 |

y = 2x^{2} |
2 | 0 | 2 | 8 | 18 | 32 |

y = 2x^{2} + 5 |
7 | 5 | 7 | 13 | 23 | 37 |

Here, we can observe that the plot is shifted up by 5 units.

The translation from the graph y = 2x^{2} to the graph of y = 2x^{2} + 5 is up by 5 units

## Which phrase best describes the translation from the graph y = 2x^{2} to the graph of y = 2x^{2} + 5?

**Summary:**

The graph is shifted by 5 units describing the translation from the graph y = 2x^{2} to the graph of y = 2x^{2} + 5.

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