Respuesta :
Answer:
Step-by-step explanation:
For a standard function:
If the coefficient of the x² term is positive, the parabola opens upward.
If the coefficient of the x² term is negative, the parabola opens downward.
For an inverse function:
If the coefficient of the y² term is positive, the parabola opens right
If the coefficient of the y² term is negative, the parabola opens left
For upward the coefficient of the x² is positive, the downward coefficient of the x² is negative, and the left and right coefficients of the y² are positive and negative respectively.
What is a parabola?
It is defined as the graph of a quadratic function that has something bowl-shaped.
For open upward we can write a parabola equation as follows:
[tex]\rm x^2 = 4ay[/tex]
If the coefficient of the x² is positive then the parabola will be upward.
If the coefficient of the x² is negative then the parabola will be downward.
For the left and right, we can write the parabola equation such as:
[tex]\rm y^2 = 4ax[/tex]
If the coefficient of the y² is positive then the parabola will be right.
If the coefficient of the y² is negative then the parabola will be left.
Thus, for upward the coefficient of the x² is positive, the downward coefficient of the x² is negative, and for the left and right coefficients of the y² are positive and negative respectively.
Know more about the quadratic equation here:
brainly.com/question/2263981