Identifying Key Features
What are the roots of the equation
y=(x+5)(x-2)
x=-5 and x=2
Find the roots of the following equation algebraically
y=x^2+8x+15
-3 and -5
Solve for the roots.
x^2=25
+5 and -5
Solve using the quadratic formula
x^2-5x-14=0
7 and -2
Describe the transformation of the parent function, given the following equation:
y = (x - 4)^2 +1
Shift right 4 units; up 1 unit
What is the y-intercept of the equation
y=7x^2-47x+8
Find the roots of the following equation algebraically
y=x^2+4x-32
-8 and 4
Solve for the roots.
x^2-49=0
+7 and -7
Solve using the quadratic formula
2x^2+2x-12=0
2 and -3
Describe the transformation of the parent function, given the following equation:
y = x^2 - 6
Shift 6 units down
What is the vertex of the following equation. You can solve this using any method.
y=-x^2+2x+3
Find the roots of the following equation algebraically
y=x^3-6x^2-27x
9 and 3
Solve for the roots.
x^2+16=0
Solve using the quadratic formula
x^2-4x+4=0
2
Describe the transformation of the parent function, given the following equation:
y = (x + 7)^2
Shift 7 units left
What is the axis of symmetry of the following equation. You MUST solve this algebraically.
y=2x^2-6x+3
3/2 or 1.5
Find the roots of the following equation algebraically
y=2x^2-10x+12
2 and 3
Solve for the roots.
9x^2=36
-2 and 2
Solve using the quadratic formula
2x^2+3x-20=0
5/2 and -4
Describe the transformation of the parent function, given the following equation:
f(x) = 2(x - 40)^2 - 2
Narrower by 2 units; Shift 40 units right; Shift 2 units down
What is the axis of symmetry AND vertex of the following equation. You MUST solve this algebraically.
y=x^2-8x+10
Axis of Symmetry: x=4
Vertex: (4,-6)
Find the roots of the following equation algebraically
2x^3-10x^2+8x
0, 1, and 4
Solve for the roots.
2x^3-200x=0
-10, 0, and 10
Solve using the quadratic formula
2x^ 2 − 7x − 13 = −10
(7+-\sqrt73)/4
Describe the transformation of the parent function, given the following equation:
f(x) = -3(x + 2)^2 -1
Reflect over the x-axis; Narrower by 3 units; Shift 2 units left; Shift 1 unit down