Identify the Equation of the Parabola

What do we call the graph of a quadratic function?

• parabola

• linear

• cubic

• sinusoidal

Tags

CCSS.HSF-IF.C.7A

Standard form of a quadratic equation

• y=x²

• y=ax²+bx+c

• y=mx+b

• y=x

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

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

Mathematical Equivalence

ON

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

Mathematical Equivalence

ON

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

Tags

CCSS.HSF-IF.C.7A

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

• x = -3

• x = 9

• x = 3

• x = -9

Does the equation open up or down? 
Y = -3x² +7x - 2

• up

• down

• Neither; it opens to the right.

• Neither; it opens to the left.

Tags

CCSS.HSF-IF.C.7A

The shape of the quadratic equation is called a...

• Parabola

• y = ax² + bx + c

• Vertex

• Graph

Tags

CCSS.HSF-IF.C.7A