10-1 Reading to Learn Mathematics Graphing Quadratic Functions Answers

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How to depict a quadratic graph

• A quadratic equation is fatigued as a curve on a set up of axes. This type of curve is called a parabola and it is symmetrical.

• To draw the graph nosotros need coordinates .

• We generate these coordinates by substituting values into the quadratic equation.

Learn how to draw a graph of a quadratic function

Plotting your graph

A quadratic equation is represented as a curve on a prepare of axes. In order to describe the curve on a graph we require several pairs of coordinates . These coordinates correspond the relationship given in the equation.

Eg y = iv – ten²

The y value is always iv decrease the square of x.

Nosotros tin can brand a table of values to create the coordinates. Nosotros utilize exchange to summate the values.

We replace the value of x for different numbers and record the resulting y value.

These coordinates tin can then be plotted on a graph.

Have a go

Click to come across a step-by-footstep slideshow.

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Footstep ane – The 10 axis goes from –2 to ii. Nosotros tin can employ these values to notice the values of y for the graph.

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Pace 2 – Create a table for the x and y values that yous volition calculate to plot the graph.

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Step 3 – Find the values for y. Start with 10 = -two. When x = -two, y = 0. Write this in the tabular array.

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Stride 4 – Echo this process for the remaining values, where 10 = -1, ten = 0, x = 1 and x = 2. You accept now found all of the values yous need to depict your graph!

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Step 5 – Plot a graph using the values you have plant. It should go from – 2 to ii on the 10 centrality, and from 0 to 4 on the y axis.

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Step 6 – Plot the points from your table on the graph. In this instance the coordinates are (-2,0), (-one,iii), (0,four), (i,three) and (2,0).

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Step 7 - Bring together the points with a smooth line. Well done – you lot accept drawn a graph of a quadratic function!

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Where adjacent?

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Source: https://www.bbc.co.uk/bitesize/topics/zdbc87h/articles/z7cny4j