Standard Form of a Quadratic Function

Standard Form of a Quadratic Function

Standard Form:

 $f\left(x\right)=ax^2+bx+c$  

First we are going to identify the a, b, and c values from the equation.

Multiple Choice

In the equation

y = x² +5x +7, identify the a, b, and c values

• a=0, b=5, c=7

• a=1, b=5, c=7

• a=7, b=5, c=1

The minus signs are like negatives for the number.

Ex:

 $y=2x^2-3x-9$  
The a=2, b=-3, and c=-9

Multiple Choice

Determine the values of

a, b, and c for

the quadratic equation:

f(x) = 4x² – 8x - 3

• a = 4, b = -8, c = 3

• a = 4, b =-8, c =-3

• a = 4, b = 8, c = 3

• a = 4, b = 8, c = -3

Multiple Choice

Identify a: f ( x ) = 3x² + 4x - 5

• 3

• 4

• 5

• -5

Multiple Choice

Identify b: f ( x ) = 3x² + 4x - 5

• 3

• 4

• 5

• -5

Multiple Choice

Identify c: f ( x ) = 3x² + 4x - 5

• 3

• 4

• 5

• -5

Using Standard Form to find the axis of symmetry:

 $y=ax^2+bx+c$  

• Axis of Symmetry:  $x=\frac{-b}{2a}$  

• Remember that the -b means the opposite of the b value.

Copy/paste the link below and watch the review video before moving on.

https://www.youtube.com/watch?v=Kei4P5MnnI4&feature=youtu.be

Multiple Choice

What is the axis of symmetry for the following equation?
y=4x²-8x+9

• x=-8
• x=1
• x=-1
• x=2

Multiple Choice

Identify the axis of symmetry of the given parabola.

y = x² − 4x + 1

• x = 3

• x = -3

• x = -2

• x = 2

Multiple Choice

What is the axis of symmetry?
y = 3x² - 6x + 4

• x=1
• x=-6
• x=2
• x=-1

Take a look at how the axis of symmetry and vertex are related.

Multiple Choice

The axis of symmetry line passes through which point?

• y-intercept
• any random point
• vertex
• none of these

Multiple Choice

A parabola has a vertex at (-3,2). Where is the axis of symmetry?

• y = -2
• x = 3
• x = -3
• y = 2

Copy/Paste the link below to watch a quick review of finding the vertex from standard form.

https://youtu.be/tjcwZ4PEEvY

Multiple Choice

What is the vertex?
f(x) = -x² - 4x + 12.

• (-2, 16)
• (2, 0)
• (2, 4)
• (-2, 4)

Multiple Choice

Determine the vertex of the parabola:
y = 5x² - 20x + 13

• (5, -7)
• (-2, -7)
• (2, -7)
• (-7, -2)

Multiple Choice

What is the vertex of the quadratic function:
y = x² - 6x + 11?

• (3,2)
• (-3,-2)
• (-3,2)
• (3,-2)

Multiple Choice

Which is the vertex of y = x²+ 16x + 71 ?

• (-8, 7)

• (-8, 3)

• (8, 10)

• (16, -2)

How are the standard form and y-intercept of a quadratic function related?

The 'c' value is the y-intercept

Multiple Choice

What is c in the following equation?
y=ax²+bx+c

• Zeroes
• Axis of Symmetry
• Direction
• y-intercept

Multiple Choice

Find the y-intercept of f(x) = 2x² - 2x + 1

• (1,0)

• (-2,0)

• (0,1)

• (0, -1)

Multiple Choice

Find the y-intercept y = x² - 6x + 5

• (0, 8)

• (0, - 6)

• (5, 0)

• (0, 5)

Multiple Choice

What is the y-intercept?
f(x) = -2x² + 4x - 6

• (0, 6)
• (0, -6)
• (6, 0)
• (-6, 0)