Algebra 2 Midterm

Unit 4: memorize graphing quadratic function formulas

Vertex form

a(x-h)²+k

All forms: opens up/down

sign of a

Vertex form: vertex

(h, k)

Vertex form: AOS

x = h

vertex form: y-interc.

plug in 0 for x, solve for y → (0, y inter.)

Vertex form: Symmetric point

(2h, y-interc.)

All forms: x - interc.

plug 0 in for y, solve for x

Standard Form

f(x)=ax²+bx+c

Standard form: vertex

(-b/2a, f(-b/2a)) → plug x into equation, solve for y

Standard Form: AOS

x = -b/2a

Standard form: y-interc.

(0,c)

Standard form: Symmetric point

(double AOS, c)

Intercept Form

f(x)=a(x-x1)(x-x2)

Interc. Form: vertex

(x1+x2/2, plug in x)

Interc. Form: AOS

x = x1+x2/2

Interc. Form: y - interc.

plug 0 in for x, solve for y → (0, y-interc.)

Interc. Form: symmetric point

(double AOS, y-interc.)