Quadratic Functions

What are the
x-intercepts of the function
f(x)= (x - 2)(x + 3)?

• x = - 2 or x = 3
• x = 2 or x = -3
• The are no real roots
• x = 2 or x = 3

Tags

CCSS.HSA.APR.B.3

Which equation best represents the graph?

• y = 2(x - 4)² + 5
• y = 2(x + 4)² + 5
• y = -2(x - 4)² + 5
• y = -2(x + 4)² + 5

Tags

CCSS.HSF-IF.C.7A

• 1.5

• 2.5

• 2.25

• 1.25

Sergei buys a rectangular rug for his living room. He measures the diagonal of the rug to be 18 feet. The length of the rug is 3 feet longer than the width. 

What are the approximate dimensions of the rug? Round each dimension to the nearest tenth of a foot

• 10.4 feet to 7.4 feet

• 13.4 feet to 10.4 feet

• 13.1 feet to 10.1 feet

• 14.1 feet to 11.1 feet

You have 600 feet of fencing to enclose a rectangular plot that borders on a river. If you do not fence the side along the river, find the length and width of the plot that will maximize the area. What is the largest area that can be enclosed?

• 90000

• 45000

• 22500

• 33750