# Can You Solve This Algebra Problem?

A quadratic function is defined by `f(x) = ax^2 + bx + c`. To make it easier, just replace the `f(x)` with `y` and treat as you have done in the past. If this looks like Greek to you, think about hiring an outstanding Algebra Tutor to help. I have found that in home tutors are the best.

# Can You Solve This Algebra Problem?

Last Updated on September 30, 2020 by A Plus In-Home Tutors

A quadratic function is defined by `f(x) = ax^2 + bx + c`. To make it easier, just replace the `f(x)` with `y` and treat as you have done in the past.

With a function in standard form `ax^2 + bx + c`, the vertex is `-b/(2a)` and the axis of symmetry is `x = -b/(2a)`. The vertex is the point on the PARABOLA where the slope changes sign from positive to negative or vice-versa. The axis of symmetry, you recall, is the line when the parabola can be “flipped” or “folded over” and still be symmetrical in shape.

You should plot at least 5 points when making a graph of the equation and DO NOT use a ruler to connect the points, this is a parabola, NOT a linear equation.

Where the parabola crosses the x-axis are called the ROOTS of the equation. These are also the x-intercepts!

ROOTS, ZEROES, X-INTERCEPTS and ANSWERS ALL MEAN THE SAME THING!

You can find the ROOTS easily by setting y = 0 and solving the quadratic equation with the factoring techniques from Chapter 6 and 10

OR

making a graph and seeing the 2 points (up to actually) where the parabola crosses the x-axis.

If this looks like Greek to you, think about hiring an outstanding Algebra Tutor to help. I have found that in home tutors are the best. They personalize Algebra for my son. He asks questions without feeling embarrassed or shy. The Algebra Tutor takes complex concepts and simplifies them into relatable terms. My son is taking Algebra I this school year, Geometry next year, and will be in Algebra II and Trigonometry the following year. From there, Pre-Calculus and Calculus  is one road that my son can take. The other is following Trigonometry, he can take Statistics. He still has time to decide, so right now getting an “A” in Algebra is at the top of his list.

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