Find the vertex of the function:
f(x)=–2x2–12x–10
Determine how many points of intersection exist in the
following system:
2
2
x +y =25
2
y=x –13
Solve:
3(x+2)2+3=27
Find the x-intercepts of the parabola:
Jack throws a baseball. The path of the ball can be
represented by the equation y=–2t2+20t, where y
represents the height (in feet) and t represents the time
the ball is in the air (in seconds).
What is the greatest height the ball will reach on its path?
Solve:
6x2–5x=4
Solve:
3x+1=7
Find the vertex of the parabola:
The parabola y=2(x+3)2–5 has been shifted eight units
right and four units down. Write the equation of the new
parabola.
Jack throws a baseball. The path of the ball can be
represented by the equation y=–2t2+20t, where y
represents the height (in feet) and t represents the time
the ball is in the air (in seconds).
How many seconds will it take for the ball to reach its
maximum height?
Solve:
2x2–8x–42=0
Determine how many points of intersection exist in the
following system:
2
y=(x–3) –1
y=x–2
Determine the coordinates of all points of intersection:
(x–2)2+(y–1)2=9
y=1
Solve:
1+2 3x–2=9
Find the vertex of the function:
f(x)=x2+2x–24
Solve:
12x2–13x=14
Determine the coordinates of all points of intersection:
y=(x–3)2–1
y=x–2
Find the y-intercept of the parabola: