Chapter 5: Quadratic Functions Algebra 2

Chapter 5: Quadratic Functions Algebra 2

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Section 1

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imaginary unit

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Cards (29)

Section 1

(29 cards)

imaginary unit

Front

Back

Whats does the "b" in y = mx + b tell you?

Front

This is the y-intercept of the line...where the line crosses the y-axis.

Back

standard form of a quadratic equation

Front

Back

Whats does the "m" in y = mx + b tell you?

Front

This is the slope (rise/run) of the line

Back

quadratic graph

Front

a graph in which the displayed data forms a U-Shape

Back

Whats does the "c" in y = ax^2 + bx + c tell you?

Front

This is the y-intercept of a parabola

Back

minimum value of a parabola

Front

the y-value of the vertex when the parabola opens UP

Back

What does the "h" in y=a(x-h)^2+k tell you?

Front

This is the x-value of the vertex and tells you if the graph shifts right or left (do the opposite).

Back

difference of two squares

Front

Back

What does the sign of a in y=a(x-h)^2+k tell you?

Front

This tells you if it is a reflection across the x-axis i.e. U-shape up or U-shape down

Back

maximum value of a parabola

Front

the y-value of the vertex when the parabola opens DOWN

Back

axis of symmetry

Front

a vertical line through the vertex of the functions graph

Back

Linear parent equation

Front

Back

complex conjugate

Front

two complex numbers of the form a+bi and a-bi

Back

roots of an equation

Front

the values of the variable (x-values) that make the equation equal 0

Back

Square-Root Property

Front

When you can take the square root of both sides of an equation. Don't forget the positive and negative sign.

Back

In the equation y = a(x - h)^2 + k what is the axis of symmetry

Front

x = h

Back

Perfect Square Trinomial

Front

Back

vertex form of a quadratic equation

Front

Back

What does the "a" in y=a(x-h)^2+k tell you?

Front

This tells you if it is a vertical stretch (greater than 1) or compression (between 0 and 1)

Back

In the equation y = ax^2 + bx + c what is the axis of symmetry

Front

Back

zero of a function

Front

the x-intercepts of a function. Which is the x-value when the y-value is 0.

Back

Whats does the sign of "a" in y = ax^2 + bx + c tell you?

Front

This tells you if it is a reflection across the x-axis i.e. U-shape up or U-shape down

Back

complex number

Front

a number that can be written in the form a+bi

Back

Whats does the "a" in y = ax^2 + bx + c tell you?

Front

This tells you if it is a vertical stretch (greater than 1) or compression (between 0 and 1)

Back

imaginary number

Front

the square root of a negative number

Back

What does the "k" in y=a(x-h)^2+k tell you?

Front

This is the y-value of the vertex and tells you if the graph shifts up or down.

Back

What you add when you complete the square.

Front

Back

linear graph

Front

a graph in which the displayed data form a straight line

Back