Graphing Parabolas in Standard form

How can you tell if a parabola opens upwards or downwards simply by looking at the equation?

• All parabolas open upwards.

• All parabolas open downwards.

• The value of "a" tells you the direction of the opening.

• It is impossible to determine simply by looking at the equation.

Tags

CCSS.HSF-IF.C.7A

Identify A, B, and C if y=3x²-8+5x

• A=3, B=5, C=-8

• A=3, B=-8, C=5

• A=3x², B=5x, C=-8

• A=3x² , B=-8, C=5x

The vertex of parabola y = - 2x² - 4x + 1 is

• (1, 3)

• (- 1, 3)

• (- 1, -5)

• (- 1, 5)

What is the equation for the AXIS OF SYMMETRY from the standard form of a quadratic? (also the x-value of the vertex)

• $x=\frac{-b}{2a}$

• $x=-2ab$

• $x=\frac{-a}{2b}$

• $x=\frac{-2}{ab}$

The parabola y = - 2x² - 4x + 1 will have an axis of symmetry of

• x = - 1

• x = 1

• x = 4

• x = - 4

Where is the axis of symmetry for this parabola?

• x = −1
• x = 0
• y = 3
• x = −3

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

The parabola y = -2x² - 4x + 1 will open

• up

• down

Tags

CCSS.HSF-IF.C.7A

Does the quadratic have a max/min vertex, and does the parabola open up/down?

• max/ opens down
• min/ opens up
• max/ opens up
• min/ opens down

Use the graph to determine the x-intercepts.

• -1 and -3

• 1 and -3

• 1 and 3

• -1 and 3

Tags

CCSS.HSF-IF.C.7A