Writing Quad. Eq
Write a quadratic equation in standard form given 0, 3
x^2 - 3x
Solve by factoring
x^2-16x+64
x=8
Solve by square root property
x^2 + 8x + 16 = 1
x=-3 or x=-5
Find the value of c that makes each trinomial a perfect square.
x^2 + 12x + c
c=36
Write the vertex.
f(x)=(x+2)^2-1
vertex:
(-2,-1)
Write a quadratic equation in standard form given -7, -8
x^2 + 15x + 56
Solve by factoring
x^2+3x+2
x= -1 or x = -2
Solve by square root property
x ^2 + 10x + 25 = 16
x=-1 or x=-9
Find the value of c that makes each trinomial a perfect square.
x^2-20x+c
c=100
Write the vertex form equation of each parabola.
f (x) = −3(x − 2)^2 − 4
vertex:
(2, -4)
Write a quadratic equation in standard form given 1, 1/2
2x^2-3x+1
Solve by factoring
7x^2=4x
x = 0 or x = 4/7
Solve by square root property
x^2 – 14x + 49 = 9
x=10 or x=4
Find the value of c that makes each trinomial a perfect square.
x^2+11x+c
c=121/4
Write the vertex form equation of each parabola.
1/2 (y + 4) = (x − 7)^2
y=2(x-7)^2 -4
Write a quadratic equation in standard form given 3, -4
x^2+x-12
Solve by factoring
10x^2=9x
x = 0 or x = 9/10
Solve by square root property:
x^2-8x+16=8
x=4+2sqrt2 or x=4-2sqrt2
Solve by completing the square.
x^2-14x+19=0
x=7+sqrt30 or x=7-sqrt 30
Write the vertex form equation of each parabola.
y = 2x^2 + 36x + 170
y = 2(x + 9)^2 + 8
Write a quadratic equation in standard form given 0, 0
x^2
Solve by factoring
2x ^2 − 8x − 90 = 0
x= -5 or x=9
Solve by square root property:
x^2-6x+9=5
x=3+sqrt5 or x=3-sqrt5
Solve by completing the square.
x^2+16x-7=0
x=-8+sqrt71 or x=-8-sqrt71
Write the vertex form equation of each parabola.
y = x^2 + 10x + 33
y = (x + 5)^2 + 8