Question

How do you graph `y=x^2 + 1`?

Answer 1

You asked "how" do you graph: I have given a full explanation as to the method.

Explanation:

`color(blue)("Some observations")`

The `x^2` is positive so the general graph shape is `uu`

Consider the generalised form of `y=ax^2+bx+c`

The `bx` part of the equation shifts the graph left or right. You do not have any `bx` type of value in your equation. So the graph is central about the y-axis.

The `c` part of the equation is of value +1 so it lifts the vertex up from y=0 to y=1
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`color(blue)("How to graph this equation")`

`color(blue)("Step 1")`

`color(brown)("Draw up a table of values that can be used to construct the graph")`

`color(blue)("Step 2")`
Draw your y-axis as a vertical line and your x-axis as a horizontal line.

Mark the relevant points for the x and y values. Draw freehand as best as you can a smooth curve that passes through those points