1. A. f(x)=1/2(x+4)(x−1)
2. B. y=1/2x^2+6x-10
3. C. f(x)=-4x^2-4x+24
4. B. the distance between the grasshopper's starting and ending points
5. A. h(t)=−16t^2+64t
1. Which of the following functions has two zeros at (−4, 0), (1, 0), and a y-intercept at (0,−2)?
A. f(x)=1/2(x+4)(x−1)
B. f(x)=−1/2(x−4)(x+1)
C. f(x)=1/2(x−4)(x+1)
D. f(x)=−1/2(x+4)(x−1)
2. Kishi draws a parabola with a vertex at (6, 8) and x-intercepts at (2, 0) and (10, 0) . Which is the expression of the parabola in standard form?(1 point)
A. y=-1/2x^2-6x+10
B. y=1/2x^2+6x-10
C. y=1/2x^2-6x-10
D. y=-1/2x^2+6x-10
3. A quadratic function, f(x) , has two zeros at (3, 0) and (−2, 0) and a maximum value of 25. Which of the following is the correct equation for the function in standard form?
A. f(x)=4x^2−4x−24
B. f(x)=−4x^+4x+24
C. f(x)=-4x^2-4x+24
D. f(x)=4x^2+4x-21
4. A grasshopper jumps from (4, 0) to (20, 0) , where the x-axis represents horizontal distance and the y-axis represents the vertical distance from the ground, forming a parabola as it goes. Morgyn wants to write the equation of the parabola in standard form. Which of the following pieces of information would allow Morgyn to determine the equation?
A. the amount of time it takes the grasshopper to complete its jump
B. the distance between the grasshopper's starting and ending points
C. the minimum value of the function
D. the maximum value of the function
5. A water rocket is launched from the ground, reaching the maximum height of 64 feet before landing on the ground 4 seconds later. Which of the following quadratic functions can be used to model the relationship between the height of the rocket, h , and the time since launch, t ?
A. h(t)=−16t^2+64t
B. h(t)=16t^2-64t
C. h(t)=16t^2 +64t
D. h(t)=-16^2-64t
1 answer
1 answer