Getting to the root
What are the roots of the following quadratic function?
(x - 7)(x + 2) = 0
(7, 0) & (-2, 0)
What is the domain and range of the following function
x2 = 4
Domain:
all real numbers
Range:
y>= -4
What is the axis of symmetry for the following quadratic function:
f(x) = (x+3)(x-3)
x=0
What is the y-intercept of the following quadratic function?
y=-2x^2-10x+45
(0, 45)
Determine the x-intercepts and write the equation in factored form:
y=5x^2+25x-330
x-intercepts are (6, 0) and (-11, 0)
y=5(x+11)(x-6)
What are the roots of the following equation?
f(x) = (x+2)(x+1)
(-2, 0) & (-1, 0)
What is the domain and range of the following equation:
f(x) = x^2+4x+4
Domain:
all real numbers
Range:
y>= 0
What is the axis of symmetry for the quadratic that has symmetric points (20, -3) and (-100, -3)?
x = -40
Find the vertex of the following quadratic equation:
f(x) = -1/2(x+1)-1
(-1, -1)
Determine the x-intercepts and write the equation in factored form:
f(x)=-x^2+11x+12
x-intercepts are (-1, 0) and (12, 0)
y=-(x+1)(x-12)
What are the x-intercepts of the following function?
f(x) = -3(2x-10)(3x-3)
(5, 0) & (1, 0)
What is the domain and range of the following function:
f(x) = -x^2-8x-20
Domain:
all real numbers
Range:
y<= -4
What is the axis of symmetry that goes through the function:
f(x) = x2 - 2x - 24
x = 1
What is the y-intercept for the following equation:
f(x)=-(x-4)^2-1
(0, -17)
Determine the x-intercepts and write the equation in factored form:
y=1/4x^2-7/4x+6/4
x-intercepts are (1, 0) and (6, 0)
y=1/4(x-1)(x-6)
What are the roots of the following function:
f(x) = -6(2x-3)(4x+5)
(3/2, 0) and (-5/4, 0)
What is the domain and range of the following situation:
Mr. Kim threw a water balloon at Ms. Scott. The equation to model the height of the balloon over time can be represented by the the function:
f(t) = -(x-2)^2+6
Domain:
0<=x<=4.5
Range:
0<=y<=6
What is the axis of the symmetry for a quadratic that has a vertex of (-0.125, 90)
x = -0.125
Find the vertex of the following quadratic equation:
f(x)=(x+6)(x+10)
(-8, -4)
Determine the x-intercepts and write the equation in factored form:
y=-x^2-2x+15
x-intercepts are (3, 0) and (-5, 0)
y=-(x-3)(x+5)
What is the x-intercept for the following function?
f(x) = (-1/2 x+2/3)^2
There is a double root:
(4/3, 0)
Find the domain and range of the following situation:
Ms. Arbuckle is practicing kicking field goals. The path of the football over time can be modeled by the equation **use your calculator**
f(t)=-5/8(x-8)^2+10
Domain:
0<=x<=8
Range:
4<=y<=12
What is the axis of symmetry that goes through the function
f(x) = -2x^2-10x-48
x =-2.5
Find the vertex of the following quadratic function:
f(x)= 3x^2-12x+9
hint:
-b/(2a)
(2, -3)
Determine the x-intercepts and write the equation in factored form:
y=-2x^2-10x
x-intercepts are (0, 0) and (-5, 0)
y=-2x(x+5)