Respuesta :
Answer:
y=x2 opens upwards.
Step-by-step explanation:
Deciding whether another quadratic equation's graph will also open upwards or downwards is a question of transformation. When the equation is in standard form, y=ax2+bx+c, then the graph will open upwards if and only if "a" is positive.
You would take the 2nd derivative of the function. So for y=-3x^2 +4x, the 1st derivative would be -6x, and the 2nd derivative would be -6.
Now once you have the 2nd derivative, you see if it is positive or negative. If it is positive, then it opens upward. If it is negative, then it opens downward.
What is a quadratic equation ?
A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term.
Learn more about quadratic equations here: https://brainly.ph/question/307465
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