How do you graph $y = x^{2} + 1$ $y=x^2 + 1$ ?

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How do you graph $y = x^{2} + 1$ $y=x^2 + 1$ ?

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Answer 1 · 2016-02-29T13:57:12

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

Explanation:

$Some observations$ $color(blue)("Some observations")$

The $x^{2}$ $x^2$ is positive so the general graph shape is $\cup$ $uu$

Consider the generalised form of $y = a x^{2} + b x + c$ $y=ax^2+bx+c$

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

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

$Step 1$ $color(blue)("Step 1")$

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

Tony B

$Step 2$ $color(blue)("Step 2")$
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

Tony B

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How do you graph $y = x^{2} + 1$ $y=x^2 + 1$ ?

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