Find the Equation of a Parabola

Which of the following equations matches standard form of a quadratic?

• ax + by = c

• y = a(x - h)² + k

• y = ax² + bx + c

• y = mx + b

In order to graph a quadratic equation in standard form, the first two steps are to use the equation _____ to find the axis of symmetry (which is the x coordinate of the vertex), and then you can plug that value back into the equation to find the _____.

• -b/2a, y coordinate of the vertex

• (x-h)^2, y-intercept
  

• (x-r1), solution

• ax^2, vertex

If we have the equation y=ax²+bx+c, how can we can find the x-coordinate of the vertex?

• -a

• -b/a

• b/2a

• -b/2a

Given a parabola with a vertex of (4,0) and a focus of (4,-1) write the equation of the parabola.

Mathematical Equivalence

ON

Given a parabola with a vertex at (4,3) and a directrix of y=1, write the equation of the parabola.

Mathematical Equivalence

ON

The graph of a quadratic function is called a

• Parabola

• Vertex

• Axis of Symmetry 

• Vertex Form

What is the axis of symmetry for the equation f(x) = 3x² - 18x + 23

• x = -3

• x = 9

• x = 3

• x = -9

The focus is at (2,0) and the vertex is at (-4,0).  What is the equation of the parabola?

• y² = 24(x+4)

• (y+4)² = -12x

• x² = 16(y+4)

• (x+4)²  = -20y

Find the equation of the parabola with Focus at (7, 0) and directrix x = - 7.

Find the equation of the parabola with Focus at (- 2,- 1) and Vertex (0, - 1).