Algebra 2 Honors Chapter 2 QUIZ

parent function

the main function before anything gets changed

transformation

process of changing the size, shape, or position of a figure while maintaining its properties

translation

process where you move the shape up, down, left, or right

reflection

process where you reflect the shape on its opposite side

vertical stretch

when the lines move closer together

vertical shrink

when the lines move further apart

quadratic function

forms a parabolic graph

parabola

a symmetric geometric shape resembling an open curve

vertex of a parabola

the point right in the center of the shape on the line

vertex form

y = a(x-h)² + k, where (h,k) represents the vertex of the parabola.

how do you move a function up or down?

g(x)=f(x)+k

how do you move a function left or right?

g(x)=f(x-h)

how do you do a vertical stretch?

|a|>1

how do you do a vertical shrink?

|a|<1

how do you reflect over the x-axis?

a<0

axis of symmetry

vertical line going down the middle of the parabola

standard form

f(x)=ax²+bx+c

intercept form

f(x)=a(x-p)(x-q)

minimum value

the smallest number that a point can be on

maximum value

the largest number that a point can be on

what does vertex form show?

the vertex (h,k)

what does standard form show?

the y-intercept (0,c)

what does intercept form show?

the x-intercepts (p,0) & (q,0)

how do you find the axis of symmetry in vertex form?

x=h

how do you find the axis of symmetry in standard form?

x=-b/2a

how do you find the axis of symmetry in intercept form?

x=p+q/2

interval where function is increasing

range of values on the x-axis where the function's output values are consistently increasing

interval where function is decreasing

range of values on the x-axis where the function's output values are consistently decreasing