Show:
Characteristics of a Parabola
Direction and Width
General and Vertex Form
Radical Form
Graphing Parabola
100

  1. Which formula can find the vertex given a parabola in general form? 

What is H = -b/2a?

100

The direction a parabola opens if a>0:

What is open upward?

100

The general form of a quadratic equation:

What is: Y = ax2 + bx+c?

100

  1. In a radical expression, if there is no root outside the radical written down, what is the assumed root?

What is the square root? 


100

  1. The point where the parabola crosses the y-axis.

What is the y-intercept?

200

  1. Where is the axis of symmetry for a parabola? 

What is the center of the parabola

200

How does the value of a affect the width of a parabola?

What is: the larger the absolute value of a, the narrower the parabola, the smaller the absolute value of a is, the wider (flatter) it is.

200

The vertex form of a parabola?

What is: f(x) = a(x-h)2 +k?

200

2. For a cubed root, if your radicand is negative, can your root answer be negative?

Yes it can be.

200

  1. The minimum number of points needed to graph a parabola accurately.

What is three (the vertex and two symmetric points)?

300

  1. The highest or lowest point of a parabola? 

  1. What is the highest or lowest point of parabola? 

300

For y = -½(x + 3)2 + 4, describe the direction and width compared to y=x2:

What is: it opens downward and is wider than y=x2?

300

Convert y=2x^2+8x+5 to vertex form:

What is y=2(x+2)^2−3?

300

For the square root of x6, how can this be rewritten to find your root answer?

What is: (x3)2?

300

  1. The effect of a negative a-value on a parabola’s graph.

What is: it reflects the parabola over the x-axis?

400

  1. For the equation y=2x2−4x+1, find the vertex.

What is (1, -1)?

400

  1. True or False: the sign of a affects the size of the parabola: 

What is false?

400

For the parabola, f(x) = 3(x-2)2 + 4, is the vertex (2, 4) or (-3, 4)?

What is: (2, 4)?

400

  1. Find the fourth root of 32 x16 y8? 

What is: 2xy2(radical 2)

400

Describe how to find the x-intercepts of a parabola.

What is: set y=0, then solve for x

500

  1. What is the domain for any parabola? 

What is all real numbers?

500

  1. What is the vertical and horizontal translation for the parabola:  f(x) = (x-6)2 - 3?

What is: It goes to the right 6, and down 3.

500

  1. What can be used to convert from general form to vertex form: 

What is: Completing the square?

500

Can you find the cube root of 512, and if so, what is it?

What is: 8?

500

  1. For y=3(x−1)2+2,  graph the parabola by identifying key features.

What is: vertex at (1,2)(1, 2)(1,2), opens upward, and narrow?