Forms of a Quadratic Equation

Forms of a Quadratic Equation

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Section 1

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parent linear function

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Last updated

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Date created

Mar 14, 2020

Cards (31)

Section 1

(31 cards)

parent linear function

Front

y = x

Back

vertical shrink

Front

0 < |a| < 1

Back

intercept form

Front

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

Back

y intercept

Front

geometry : the y coordinate of a point where a line crosses the y axis. algebra: occurs when x=0

Back

range

Front

All of the output or y-values in a function

Back

graph opens down

Front

Negative "a"

Back

Equation for axis of symmetry from vertex form

Front

x = h

Back

parent absolute value function

Front

y = |x|

Back

graph opens up

Front

Positive "a"

Back

y coordinate of vertex from intercept form

Front

substitute results from x = (p + q)/2 into equation to find y

Back

parent quadratic function

Front

The function y=x^2

Back

axis of symmetry

Front

the line that divides the parabola into two matching halves.

Back

parabola

Front

the shape of the graph of a quadratic function

Back

standard form

Front

Y=ax^2+bx+c

Back

x coordinate of vertex from intercept form

Front

(p + q)/2

Back

parent exponential function

Front

y = b^x

Back

How does the vertex of the function relate to the vertex form of the quadratic equation?

Front

( - h , k )

Back

vertex form

Front

y=a(x-h)^2+k

Back

minimum

Front

the lowest point of the parabola y=ax^2 + bx + c when a>0.

Back

range of a quadratic function

Front

y >= y-coordinate of vertex if graph opens up (has a min) y<= y-coordinate of vertex if graph opens down (has a max)

Back

What are the x-intercepts in intercept form?

Front

(-p , 0) and (-q , 0)

Back

Equation for axis of symmetry from standard form

Front

X= -b/2(a)

Back

How does the axis of symmetry relate to the intercept form of the equation?

Front

It will be found exactly half-way between the x-intercepts (if they exist)

Back

domain of a quadratic function

Front

all real numbers

Back

x-intercept

Front

geometry : x coordinate of a point where a graph crosses the x axis/ algebra: y coordinate of this point is zero

Back

y coordinate of vertex from standard form

Front

substitute results from x = -b/2a into equation to find y

Back

maximum

Front

the highest point of the parabola y=ax^2 + bx + c when a<0.

Back

vertex

Front

the highest or lowest point of a parabola.

Back

parent function

Front

The simplest, most general function in a family of functions.

Back

vertical stretch

Front

|a|>1

Back

domain

Front

All of the input or x values in a function

Back