Find the max and min from a quadratic on a closed interval

The video tutorial introduces quadratic functions, focusing on X squared. It explains how to graph X^2 + 1 by vertically shifting the graph and plotting initial points. The tutorial discusses the concepts of maximum and minimum values, known as extrema, and how to write and identify them on a graph.

What happens to the graph of y = X^2 when you add 1 to the function?

• It shifts vertically downwards.

• It shifts horizontally to the left.

• It shifts horizontally to the right.

• It shifts vertically upwards.

If you plug x = -1 into the function X^2 + 1, what is the resulting y-value?

• 3

• 1

• 0

• 2

What is the y-value when x = 2 for the function X^2 + 1?

• 3

• 4

• 5

• 6

In the function F, what is the maximum value and at which x-value does it occur?

• Max of 2 at x = -1

• Max of 4 at x = 1

• Max of 5 at x = 2

• Max of 3 at x = 0

What is the minimum value of the function F and at which x-value does it occur?

• Min of 1 at x = 0

• Min of 4 at x = 3

• Min of 2 at x = 1

• Min of 3 at x = 2