Quadratics, vertex form
Perfect square trinomial
Difference in squares
Factoring trinomials
Systems of equations
100

If a quadratic function has a vertex at (1, -3) and passes through the point (4, 10), determine the equation of the quadratic in vertex form.

What is f(x)=13/9(x−1)^2−3 

100

9x^2−36x+36

What is 9(x−2)^2

100

25x^2−16

What is (5x+4)(5x−4)

100

2x^2−5x−3


 

(2x+1)(x−3)

100

2x+3y=11

4x−2y=6

What is x = 5/2 and y = 2

200

For a quadratic function with a vertex at (0, 2), find the equation in vertex form knowing that it passes through the point (-1, 5).

What if f(x)=3x^2+2


200

16x^2−56x+49


(4x−7)^2

200

49y^4−36z^2

What is (7y^2+6z)(7y^2−6z)

200

4x^2−17x−15

(4x+3)(x−5)

200

3x−2y=5

x+4y=10

What is x = 20/7 and y - 25/14

300

If a quadratic function has a vertex at (1, -6) and passes through the point (-2, 9), find the equation of the quadratic in vertex form.

what is f(x)=5/3(x−1)^2−6 

300

25x^2+120x+144

(5x+12)^2

300

81a^4−64b^6

What is (9a^2+8b^3)(9a^2−8b^3)

300

x^2+3xy−4y^2

What is (x+4y)(x−y)

300

2x+y=7

x−3y=−5

What is x = 16/7 and y = 17/7

400

For a quadratic function with a vertex at (-1, 3), find the equation in vertex form knowing that it passes through the point (3, -5).

What is f(x)=−1/2(x+1)^2+3 

400
36x^2 −180x+225

(6x−15)^2

400

144x^6−169y^4

(12x^3+13y^2)(12x^3−13y^2)  

400

4x^2−13xy+3y^2  

What is (4x−y)(x−3y)

400

5x+2y=18

3x−y=6

What is x = 30/11 and y = 24/11
500
A quadratic function has its vertex at (-2, 3). If the function passes through the point (1, -4) determine the equation of the quadratic in vertex form.



What is f(x)=−7/9(x+2)^2+3 

500

49x^2−420x+900

(7x−30)^2

500

256a^6−625b^4

(16a^3+25b^2)(16a^3−25b^2)

500

5x^2−12xy+7y^2

(5x−7y)(x−y)

500

4x−y=7

2x+3y=8

What is x = 29/14 and y = -20/7