Quadratic Equations

Basics of Quadratics

100

What is the standard form of the quadratic equation

y=ax^2+bx+c

200

What shape do quadratic equations form?

Parabola

300

In standard form what does the c stand for

y-intercept

400

In standard form if a is negative how does the graph open?

up

500

In standard form if a is positive and b is negative how does it effect the graph?

Right and down

Finding the vertex or intercept

100

What is the y-intercept y=x^2+2x-9

(0,-9)

200

Find the vertex y=x^2+4x+5

(-2,1)

300

what is the vertex y=5(x-4)^2+6

(4,6)

400

What are the x intercepts? y=6(x-9)(x+5)

(9,0) (-5,0)

500

What is the y-intercept? y=7(x+3)(x-2)

(0,-42)

Solve by factoring

100

Solve by factoring y=x^2+10x+9

x=-9 x=-1

200

Solve by factoring y=x^2+2x-8

x=-4, x=2

300

Solve by factoring y=x^2-x-20

x=5, x=-4

400

Solve by factoring y=x^2+17x+52

x=-4 x=-13

500

Solve by factoring (x^2)- 81

x=9 x=-9

Solve by Quadratic formula

100

Solve the equation by using the quadratic formula. y=x^2-5x-5

x=4.73 x=.26

200

Solve the equation by using the quadratic formula. y=2x^2+3x-4

x=.85 x=-2.35

300

Solve the equation by using the quadratic formula. y=x^2-6x+9

x=3

400

Solve the equation by using the quadratic formula. y=3x^2+4x+8

x=-4+i(sqrt80)/6 x=-4-i(sqrt80)/6

500

Solve by quadratic formula y=4(x^2)-7x+12

x= 7+i(sqrt 143)/ 8 and x= 7-i(sqrt 143)/ 8

Writing Equations

100

Write the vertex form of a quadratic equation whose vertex is (2,4) and goes through (3,3)

y=-(x-2)^2+4

200

Write the vertex form of a quadratic equation whose vertex is (1,3) and goes through (3,-1)

y=-2(x-1)^2+3

300

Write the intercept form of a quadratic equation that goes through (-1,0)(2,0)(0,-4)

y=2(x+1)(x-2)

400

Write the intercept form of a quadratic equation that goes through (3,0)(9,0)(14,77)

y=7/5(x-3)(x-9)

500

Write the standard form of a quadratic equation that passes through (0,0) (4,0), (3,3)

y=-x^2+4x