What are Quadratic Functions? – Practice Problems
Having fun while studying, practice your skills by solving these exercises!
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- Practice Problems
A quadratic function is represented by the standard form, y = ax2 + bx + c.
In order for such an equation to be a quadratic function, and not a linear one, we must have that the coefficient a is not equal to zero; i.e. a ≠ 0.
The graph of a quadratic function is a parabola. The larger the absolute value of a is, the thinner the shape of the parabola becomes. The smaller the absolute value, the wider the parabola becomes.
The coefficient a is also an indicator of the direction of the shape of the parabola. If the value of a is positive, the parabola opens upwards. If the value of a is negative, the parabola opens downwards.
Graph linear and quadratic functions and show intercepts, maxima and minima.
CCSS.MATH.CONTENT.HSF.IF.C.7.A
Decide if the given shape is a parabola. |
Describe a quadratic function and the role of $a$. |
Identify the value of the coefficient $a$ of each parabola. |
Find the corresponding quadratic function. |
Determine which functions are quadratic functions. |
Explain how to find the corresponding quadratic function. |