Find the standard form of the equation of the parabola with the given characteristic and vertex at the origin.
Vertical axis and passes through the point (-8,-8)

Question

Find the standard form of the equation of the parabola with the given characteristic and vertex at the origin. ​
Vertical axis and passes through the point (-8,-8)
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Quizplus · Accepted Answer

Since the vertex is at the origin and the axis is vertical, we know that the equation is of the form:
$$y=ax^2$$
To find the value of a, we can use the fact that the parabola passes through the point (-8,-8):
$$-8=a(-8)^2$$
Solving for a, we get:
$$a=-\frac{1}{8}$$
Substituting this value of a in the equation of the parabola, we get:
$$y=-\frac{1}{8}x^2$$
which is in standard form. Therefore, the answer is (C).

Find the Standard Form of the Equation of the Parabola