Standard Form of Quadratic Parabolas

Standard Form of Quadratic Parabolas

Multiple Choice

What is the vertex of the equation

 $y=\left(x+7\right)^2+3$  

• (7, 3)

• (7, -3)

• (-7, 3)

• (-7, -3)

Multiple Choice

What is the vertex of the equation

 $y=\left(x-3\right)^2+5$  

• (-3, 5)

• (3, 5)

• (-3, -5)

• (3, -5)

Write this in your notes now!

Multiple Choice

Select the standard form of a quadratic equation.

• y=x²

• y=ax²+bx+c

• y=mx+b

• y=x

Multiple Choice

Standard form and vertex form both have the letter ___ in their equations.

• a

• h

• k

• c

Multiple Choice

Is this parabola opening up or down?

• up

• down

Multiple Choice

How can you tell whether a parabola is facing up or facing down by looking at the equation?

• The vertex tells you the direction of the opening

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

• All parabolas open upward

• All parabolas open downward

Multiple Choice

If the a value is positive, the graph opens

• up

• down

Multiple Choice

If the a value is negative the graph opens

• up

• down

Multiple Choice

Does the equation open or or down?

y = -3x² +7x - 2

• up

• down

Multiple Choice

What is the formula for the axis of symmetry (x-value of the vertex)?

•  $y=ax^2+bx+c$  

•  $x=\frac{-b}{2a}$  

•  $y=mx+b$  

•  $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$  

Multiple Choice

 $y=3x^2-12x+4$  What is the "a" value of the equation

• 3

• -12

• 2

• 4

Multiple Choice

 $y=3x^2-12x+4$  What is the "b" value of the equation

• 3

• -12

• 2

• 4

Multiple Choice

 $y=3x^2-12x+4$ 

What is the axis of symmetry (x-value of the vertex)?

Hint: use formula  $x=\frac{-b}{2a}$  

• x= -2

• x= 2

• x= 1/2

• x= 6

Be sure to include some of these examples in your notes!

Here comes another practice using that formula.

Multiple Choice

 $y=x^2+6x+9$  What is the "a" value of the equation

• 2

• 6

• 9

• 1

Multiple Choice

 $y=x^2+6x+9$  What is the "b" value of the equation

• 2

• 6

• 9

• 1

Multiple Choice

 $y=x^2+6x+9$ 

What is the axis of symmetry (x-value of the vertex)?

Hint: use formula  $x=\frac{-b}{2a}$  

• x= -2

• x= 2

• x= -3

• x= 3

Be careful with this "a" value!

Last set for the day :)

Multiple Choice

 $y=-x^2+2x+3$  What is the "a" value of the equation

• 2

• 3

• 1

• -1

Multiple Choice

 $y=-x^2+2x+3$  What is the "b" value of the equation

• 2

• 3

• 6

• 1

Multiple Choice

 $y=-x^2+2x+3$ 

What is the axis of symmetry (x-value of the vertex)?

Hint: use formula  $x=\frac{-b}{2a}$  

• x= -2

• x= 2

• x= 1

• x= -1