Quadratic Functions and Its Zeros

Does the equation have a max or min?
y = 2x² + 7x + 5

• max

• min

Tags

CCSS.HSF-IF.C.7A

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

• (5, -7)

• (-2, -7)

• (2, -7)

• (-7, -2)

Morty throws a ball up into the air. The height of the ball above the ground, in feet, is modeled by the function h(t)=-16t^2+24t, where t represents the time, in seconds, since the ball was thrown. Which key feature represents the maximum height the ball reaches?

• The x-intercept

• The y-intercept

• The vertex

• The roots

A swim team member performs a dive from a 14-foot-high springboard. The graph shows the path of her dive. Based on the graph, which of the following is not true?

• The diver was at their maximum height at 3 seconds.

• The diver took approximately 8 seconds to reach the water.

• The maximum height the diver reached was 24 feet.

• The diver's height was decreasing for 5 seconds.

Identify the vertex and whether the graph opens up or down.

• (-1, 4); opens up

• (-1, 4); opens down

• (1, 4); opens up

• (1, 4); opens down

Compare f(x) to g(x). Which statement is true about the functions number of roots.

• f(x) has more roots than g(x)

• They both have 2 roots.

• They both have 0 roots.

• g(x) has more roots than f(x)

Compare g(x) to f(x). Which statement is true?

• g(x) has 2 negative x-intercepts.

• f(x) has one positive and one negative x-intercepts.

• f(x) has 2 positive x-intercepts.

• g(x) has 2 positive x-intercepts.

Compare g(x) to f(x). Which statement is true about their x-intercepts?

• g(x) and f(x) each have 2 x-intercepts.

• g(x) and f(x) each have 0 x-intercepts.

• g(x) has 2 x-intercepts and f(x) has 0.

• f(x) has 2 x-intercepts and g(x) has 0.

Which function is quadratic?

• f(x)

• h(x)

• g(x)

• y=(x-3)(x-10)

• y=(x+3)(x+10)

• y=(x-5)(x+2)

• y=(x+5)(x-2)

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A