Question

Given a quadratic function, y = ax^{2} + bx + c, what happens to the graph when "a" is positive?.

Answer 1

Answer:

So, given a quadratic function, y = ax2 + bx + c, when "a" is positive, the parabola opens upward and the vertex is the minimum value. On the other hand, if "a" is negative, the graph opens downward and the vertex is the maximum value.

Step-by-step explanation:

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Answer 2

The quadratic function, y = ax²+ bx + c opening upward if the value of 'a' is positive.

What is a quadratic equation ?

Any equation of the form $\rm ax^2+bx+c=0$ where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

$\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}$

We have quadratic function,

y = ax² + bx + c

If the value of 'a' is negative, then the function will be opening downside and if the value of 'a' is positive, then the function will be opening upside.

Let say a = 1, b = 1, c = 1

y = x² + x + 1 (upside)

If a = -1, b = 1, c = 1

y = -x² + x + 1 (downside)

Thus, the quadratic function, y = ax²+ bx + c opening upside if the value of 'a' is positive.

Learn more about quadratic equations here:

brainly.com/question/2263981

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