Expand: (2x + 3y)^2
Answer: 4x^2 + 12xy + 9y^2
Solve: 4x^2 - 64 = 0
Answer: (-4,4)
What is the vertex and transformation?: f(x) = x^2 -5
Down 8 units (0, -8)
0; one real solution
Solve: v^2 -5 = -15
(i(radical sign)10, -i(radical sign)10
Expand: 2x (x - 5) (3x + 4)
Answer: 6x^3 - 22x^2 - 40x
Solve: 3x^2 + 19x = -6
Anser: (-6, -1/3)
What is the vertex and transformation?: (x - 5)^2 + 3
(-5) Right 5 units
(+3) up 3 units
Solve: 7b^2 - 6b + 3 = -7
-244; two imaginary solutions
Solve: -2x^2 =-2
(1, -1)
Factor: 5x^3 - 125xy^2
Answer: 5x(x + 5y)(x - 5y)
Solve: 4x^2 - 24x = 16x
Answer: (0,10)
What is the vertex and transformation?: k(x) = -2(x+ 7)^ 2-5
-2(Facing down (reflection)
+7 (2 units to the left)
-5 (down 5 units)
10x^2 + x - 2 = 0
Solve: v^2 +5 =15
(radical sign)10, -(radical sign)10)
Factor: 3x^2y - 15xy +18y
Answer: 3y (x - 2) (x - 3)
Solve: 3x^2 + 12x = -6 -7x
Answer: (-1/3, -6)
It reflects on what axis: y = −f(x)
Reflects it about x-axis
Solve: -7a^2 - 9a + 5 =8
25; two real solutions
Solve: 8r^2 + 6 = 150
(3(radical sign)2, -3(radical sign)2)
Solve: 2x^2 - 3x = x^2 - 2
Answer: (1,2)
Solve: x^2 = 2x - 6
Answer: (1 = i(radical symbol)5)
It reflects on what axis: y = f(−x)
Solve: 7n^2 = -7
-196; two imaginary solutions
Solve: 7n^2+6= 699
(3(radical sign)11, -3(radical sign)11)