Given a point and vertex find the formula of the parabola

Given a point and vertex find the formula of the parabola

Assessment

Interactive Video

Mathematics, Information Technology (IT), Architecture

11th Grade - University

Hard

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the primary focus when determining which variable is squared in a standard form equation?

The context of the problem

The position of the directrix

The distance to the focus

The value of the vertex

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which point is used along with the vertex to find the value of P?

(2, 4)

(1, 1)

(3, 6)

(0, 0)

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula used to find the value of P in the equation?

(Y - K)^2 = 4P(X - H)

Y^2 = 4P(X - H)

(X - H)^2 = 4P(Y - K)

X^2 = 4P(Y - K)

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why can the terms X - 0 and Y - 0 be omitted in the final equation?

Because the vertex is at the origin

Because they do not affect the equation

Because the vertex is not at the origin

Because they are always zero

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final standard form of the equation derived in the lesson?

Y = 4/3 X^2

Y = 2/3 X^2

Y = 3/2 X^2

Y = 3/4 X^2