EOC Review - Day 4

EOC Review - Day 4

Quadratic & Exponential Functions

Labelling

Label the parts of the quadratic function:

Drag labels to their correct position on the image

Minimum

Vertex/Maximum

Discriminant

Rate of Change

Y-intercept

Root/Zero/X-intercept

Quadratic Formula

Slope

Find the vertex: x2 - 4x -5 = 0

Formula:

Multiple Choice

Find the vertex of the quadratic function: y = 4x² + 24x + 5

• (−3, −31)

• (3, 113)

• (−3, −76)

• (3, 5)

Find the roots: x2 - 4x -5 = 0

Factor or Quadratic Formula

Multiple Choice

x² + 44 = -15x

• {-8, 2}

• {-7, 5}

• {-11, -4}

• {-11}

Find/Define the discriminant: x2 - 4x -5 = 0

Formula:

+______________________

-______________________

0 _________________________

Multiple Choice

Determine the value of the discriminant

x² + 7x + 13=0

• 101

• 3

• -101

• -3

Multiple Choice

____________
For the function above, is the discriminant positive, negative, or zero?

• Positive

• Negative

• Zero

• Not Sure

Transformations:

y = a(x - h)2 + k

Describe each transformation:

Write an equation for each graph using transformations:

Multiple Choice

Which transformation maps the graph of
f(x) = x² to the graph of g(x) = (x + 4)²?

• a translation shifting f(x) 4 units up

• a translation shifting f(x) 4 units down

• a translation shifting f(x) 4 units to the left

• a translation shifting f(x) 4 units to the right

Multiple Choice

Which transformation will occur if f(x) = x² is replaced with 2⋅f(x)?

• Wider

• Narrower

• Vertical translation up by 2 units.

• Reflection across the x-axis.

Multiple Choice

Which transformation will occur if f(x) = x² is replaced with f(x) + 2?

• Translation left 2 units

• Narrower

• Vertical translation up by 2 units.

• Reflection across the x-axis.

Exponential Functions

a = P(1 +/- r)t

Multiple Choice

You bought a brand new car for $45,000. The car depreciates at approximately 7% per year. How much will the car be worth after 8 years? Round to the nearest whole dollar.

• $77,318

• $25,181

• $41,850

• The value won't change at all.

Multiple Choice

 The population of a school is 1000 students and is increasing at a rate of 3% each year.  What will the population be in 5 years?

• 1159.27

• 2000

• 1159

• 300

Linear vs. Exponential

Multiple Choice

Is the table linear or exponential?

• Linear

• Exponential

Multiple Choice

Is the table linear or exponential?

• Linear

• Exponential

Multiple Choice

Write the equation of the exponential function for the given graph.

• y = 3^x

• y = 2(1/3)^x

• y = (1/3)^x

• y = -1(1/3)^x