(04.04 MC) Given the directrix of y = −1 and focus of (0, 3), which is the equation of the parabola?

choices:
y = one eighthx2 − 1
y = −one eighthx2 + 1
y = one eighthx2 + 1
y = −one eighthx2 − 1

A parabola is a U-shaped plane curve where any point is at an equal distance from a fixed point (known as the focus) and from a fixed straight line which is known as the directrix.

Given:

directrix of y = −1

focus of (0, 3),

As, the vertex lies inbetween vertex and the directrix.

So, the value of y- vertex

= (3+(-1))/2

=1

Now, the x coordinate will be same as that of the focus.

Thus, the vertex will be at (0,1). Also the graph opens toward the focus and since its vertex is at (0,1).

Hence, the equation will be y = one eighthx2 + 1.

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(04.04 MC) Given the directrix of y = −1 and focus of (0, 3), which is the equation of the parabola? choices: y = one eighthx2 − 1 y = −one eighthx2 + 1 y = one eighthx2 + 1 y = −one eighthx2 − 1

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What is parabola?

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(04.04 MC) Given the directrix of y = −1 and focus of (0, 3), which is the equation of the parabola?

choices:
y = one eighthx2 − 1
y = −one eighthx2 + 1
y = one eighthx2 + 1
y = −one eighthx2 − 1