Quadratic Feature from an Equation

What is the range of the function?

• All real numbers

• y ≥ 4

• y ≤ 4

• y ≤ 1

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Which of the following are true? Check all that apply.

• The vertex is (-2,1)

• The vertex is (1,-2)

• The axis of symmetry is x = -2

• The axis of symmetry is y = -2

Does the following quadratic equation have a maximum or minimum value? How can you tell?

y=x²+2x-3

• Minimum value, because the a value is positive

• Maximum value, because the b value is positive

• Maximum value, because the a value is positive

• Minimum value, because the c value is negative

If I want to find out when an object hits the ground, I should _________.

• Use x = (-b/2a) as my answer.

• Set my equation = 0 and solve.

• Replace x with 0 and evaluate.

• Find the y-coordinate of the vertex.

When I want to find the maximum or minimum height of an object, I should_____

• Set the equation = 0 and solve.

• Use x = (-b/2a) as my answer.

• Substitute x = 0 into the equation.

• Find the y-coordinate for the vertex.

What is the standard form of a quadratic function?

• y=mx+b

• ax+by=c

• f(x)=ax²+bx+c

• f(x)=(x+a)(x-b)

When did the ball reach its maximum height? Choose the key feature and the answer.

• y-intercept, 3 secs

• x-value of the vertex, 4 secs

• y-value of the vertex, 5 secs

• y-intercept, 0 secs

Joe Mauer hits a fly ball.  You can track the height of the ball using the equation:   h(t) = -16t² + 140t + 2  
What was the starting
                        height of the ball?                                                                                      

• -16 feet

• 140 feet

• 2 feet

• 0 feet

What is the range of this function?

• All real numbers.

• All real numbers greater than or equal to 0.

• All real numbers greater than or equal to -2.

• All real numbers greater than or equal to 2.

Tags

CCSS.HSF-IF.C.7A

A dolphin jumps from the water at at initial velocity of 16 feet per second. The equation h = -8t² + 16t models the dolphin's height at any given time, t. What is the maximum height the dolphin jumps?

• 1 foot

• 5 feet

• 7 feet

• 8 feet

• 12 feet