Adding and Subtracting Functions with Graphs

If a(x) = (4n⁴ - 8n + 4) and b(x) = (8n² + 4n⁴ + 1)

Find a(x) - b(x)

• -8n² - 8n + 3

• -7n² - 8n + 3

• -6n² - 8n + 3

• -7n² - 4n + 3

Tags

CCSS.HSA.APR.A.1

f(n)=x²+1
g(n)=2x-5
Find f(n)-g(n)

• x²-2x+6

• -x²+2x+4

• -x²-2x-6

• x²-2x-4

Tags

CCSS.HSF-BF.A.1B

Given
f(x) = 3x² + 7x and g(x) = 2x² - x - 1, find (f + g)(x).

• 11x² - 1

• 5x⁴ + 6x² - 1

• 5x² + 6x - 1

• 5x² + 8x - 1

Tags

CCSS.HSF-BF.A.1C

Troy graphed the line of the equation f(x) = 5x + 2. Sarah
graphed the line of the equation g(x) = 5x – 2 on the same
coordinate plane. Which of the following statements best
describes the line that Sarah graphed second?

• Less steep by 2

• Vertical shift up 4

• Vertical shift down 4

• Steeper by 2

The linear parent function, f(x) = x, is transformed to g(x) = f(x) - 6. Describe the transformation?

• g(x) is shifted up 6 units

• g(x) is shifted left 6 units

• g(x) is shifted right 6 units

• g(x) is shifted down 6 units

What was done to f(x) to create g(x)?

The BLUE GRAPH is shifted _________ from the RED GRAPH.

• Up

• Down

• Cannot be determined

If h(b) = (6b³ + 6 - b⁴) and g(b)= (8b³ - 6b⁴ + 2)

Find h(b)-g(b)

• 4b⁴ - 2b³ + 7

• 5b⁴ - 2b³ + 4

• b⁴ - 2b³ + 7

• 5b⁴ - 2b³ + 7

Tags

CCSS.HSA.APR.A.1