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Algebra Questions

How do you compute the intercepts of a quadratic function? In case of a quadratic function, why are there two x-intercepts and one y-intercept?

Which topic covered in this class was the most challenging for you? Why? How did you overcome this challenge?

What is the meaning of "axis" in regards to a quadratic function? Why is there a need of it?

Why does the graph of a quadratic function intersect the y-axis at only one point?

Why is it sufficient to define a quadratic function in terms of a, b, and c? f(x) = ax^2 +bx +c

Present at least two different ways of graphing quadratic functions. Please show detailed work.

Solution Preview

Hi,

To compute for the intercepts of a quadratic function, we must substitute y = 0 and solve for x to get the x-intercepts, and substitute x = 0 and solve for y to get the y-intercept. There are 2 x-intercepts and 1 y-intercept because a quadratic function is a 2nd degree function, so 2 values of x will satisfy the same value of y.

The challenging topic depends on your own experience. Just mention the topics you had the hardest time learning but you have eventually overcome through studying more about it.

A quadratic function has an axis ...

Solution Summary

This posting contains the solution to the given problems.

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