Writing the equation of the line given the vertex and point

What are the coordinates of the vertex given in the problem?

• (-2, 5)

• (-3, 2)

• (2, -5)

• (3, -2)

What is the significance of the axis of symmetry in a parabola?

• It is parallel to the x-axis.

• It determines the direction of the parabola.

• It passes through the vertex of the parabola.

• It is perpendicular to the y-axis.

Which variable is squared in the equation of a parabola that opens downwards?

• Y

• Neither X nor Y

• X

• Both X and Y

What is the value of P in the derived equation?

• 1/12

• -12

• -1/12

• 12

How is the equation simplified to solve for Y?

• By multiplying by 3

• By dividing by 3

• By dividing by -3

• By multiplying by -3

What is the final form of the equation in terms of Y?

• Y = X^2 + 4X + 7

• Y = -X^2 - 4X - 7

• Y = 3X^2 + 12X + 7

• Y = -3X^2 - 12X - 7

Why might the equation be presented in different formats?

• To confuse the students

• To match different mathematical conventions

• To make it easier to solve

• To change the vertex