Question

What key features of a quadratic graph can be identified and how are the graphs affected when constants or coefficients are added to the parent quadratic equations? Compare the translations to the graph of linear function. Create examples of your own to explain the differences and similarities.

Answer 1

The key features of a quadratic graph that can identified are; x and y intercepts, axis of symmetry and vertex

Keys features of a quadratic graph

The key features are the x-intercepts, y-intercepts, axis of symmetry, and the vertex.

If we add units we can move this function upwards, downwards leftwards and rightwards.

• If we add a positive number to the x-variable, then the graph will move to the left.

• If we add a negative number to the x-variable, then the graph will move to the right.

• If we add a positive number to y-variable, then the graph will move upwards.

• If we add a negative number to y-variable, then the graph will move downwards.

Hence, if we compare the rules we use before with linear function, there's no distinction between horizontal and vertical movements, because if we add to x-variable, then y-variable will be also affected.

Learn more about quadratic graphs here:

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