Applications of Quadratics & Features

What is the vertex of this parabola?

• (3, -1)

• (1, 3)

• (-1, -3)

• 5

What are the roots of this function?

• (-3, 0) & (1, 0)

• (0, -3) & (0, 1)

• (-1, -4) & (0, -3)

• (0, -1) & (-1, -4)

Tags

CCSS.HSF-IF.C.7A

What is the y-intercept of the quadratic function f(x) = 20x² + 50x - 14? (Hint: x=0 on the y-axis OR the y-int=c)

• (0, -14)

• (0, 14)

• (14, 0)

• (-14, 0)

Choose the correct equation of this parabola (you can use Desmos)

• y = x² + 2x + 3

• y = -x² - 2x + 3

• y = x² + 2x - 3

• y = -x² - 2x - 3

• (3,0)

• (2,0)

• (6,0)

• (-2,0)

• (-3,0)

Tags

CCSS.HSF-IF.C.7A

Which equation could match the graph?

• y = (x + 1)(x + 4)

• y = (x - 1)(x - 4)

• y = (x - 4)(x - 4)

• y = (x + 2.5)(x + 4)

What are the roots 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

A ball is thrown into the air with an upward velocity of 100 ft/s. Its height, h, after t seconds is given by the function  h = -16t² + 64t + 960. What is the maximum height? (Hint: Maximum refers to the height or y-value of vertex)

• 960 feet

• 1008 feet

• 1024 feet

• 1152 feet

A ball is thrown into the air with an upward velocity of 100 ft/s. Its height, h, after t seconds is given by the function  h = -16t² + 64t + 960. When did the ball hit the ground? (Always the x-value of the 2nd x-intercept)

• 10 seconds

• 2 seconds

• 5 seconds

• 7 seconds

A ball is thrown into the air with an upward velocity of 40ft/s. Its height h in feet after t seconds is given by the function :

h(t) = -16t² + 40t + 10

How many seconds does it take the ball to reach its maximum height?

• 1.25 seconds

• 1.4 seconds

• 2.5 seconds

• 2 seconds