Standard Form of a Quadratic

$$f(x) = ax^2 + bx + c$$ Axis of symmetry: $$x = \frac{-b}{2a}$$ C-value: y-intercept

Vertex Form of a Quadratic

$$f(x) = a(x - h)^2 + k$$ Vertex: $$(h, k)$$

Intercept (Factored) Form

$$f(x) = a(x - p)(x - q)$$ x-intercepts: set each parenthesis = 0 and solve. Axis of symmetry: $$\frac{p + q}{2}$$

Absolute Value Functions: 'a' Value

$ y = a|x| $ $ a > 0 $: opens up $ a 1 $: narrower or stretch \( 0

Vertex Form of Absolute Value

$ y = a|x - h| + k $ Vertex: $ (h, k) $

Exponential Functions: Growth or Decay

$$y = a \cdot b^x$$ a-value: y-intercept or initial value b-value: the change b > 1: growth 0

Simple Interest Formula

$ A = P(1 + rt) $ A: Total Amount P: Principal or initial amount r: rate (as a decimal) t: time

Compound Interest Formula

$$A = P \left(1 + \frac{r}{n}\right)^{nt}$$ A: Total Amount P: Principal or initial amount r: rate (as a decimal) t: time n: number of times compounded

Methods to Find Zeros of a Function

1. Graph: where the function crosses the x-axis 2. Set equal to 0 and solve: a. Factor b. Square root c. Completing the square d. Quadratic Formula: $$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$

Classify Polynomials by Terms

1: Monomial 2: Binomial 3: Trinomial

Classify Polynomials by Degree

0: Constant 1: Linear 2: Quadratic 3: Cubic

Operations with Polynomials

+ : Combine like terms - : Distribute subtraction sign THEN X : Distribute or box method THEN ÷ : Divide each term by the divisor

System of Inequalities: Step 1

Isolate y to graph each inequality.

System of Inequalities: Step 2

Where the shading overlaps is the solution.

System of Inequalities: Step 3

All ordered pairs within that shaded region are possible solutions.

Inequalities Symbol: ≤

Less than or equal to - At most

Inequalities Symbol: ≥

Greater than or equal to - At least

Exponent Rules: Product Rule

$$x^2 \cdot x^3 = x^{2+3} = x^5$$

Exponent Rules: Quotient Rule

$$\frac{x^5}{x^3} = x^{5-3} = x^2$$

Exponent Rules: Power Rule

$$(x^3)^5$$ = $$x^{3 \cdot 5}$$ = $$x^{15}$$

Exponent Rules: Power of a Product Rule

$$(x^3y^2)^5$$ = $$x^{3 \cdot 5}y^{2 \cdot 5}$$ = $$x^{15}y^{10}$$

Exponent Rules: Power of a Fraction Rule

$$\left(\frac{x^2}{y^3}\right)^2 = \frac{x^4}{y^6}$$

Exponent Rules: Rational Exponent Rule

$$x^{\frac{3}{2}} = \sqrt{x^3} = (\sqrt{x})^3$$

Exponent Rules: Negative Exponent Rule

$$\frac{y^{-2}}{x^{-3}} = \frac{x^3}{y^2}$$

Radical Rules: Product

a $$\sqrt{b}$$ \cdot c $$\sqrt{d}$$ = a \cdot c $$\sqrt{b \cdot d}$$

Radical Rules: Quotient

$$\frac{\sqrt{a}}{\sqrt{b}} = \sqrt{\frac{a}{b}}$$

Radical Rules: Addition and Subtraction

$$\sqrt{c}$$ + $$b \sqrt{c}$$ = (a+b) $$\sqrt{c}$$

Set equation = 0 (ax^2+bx+c=0), Multiply a and c

Box Method: Fill one term in each box, GCF up and left. Grouping: Group first two terms and last two terms, GCF each group

Statistics Vocabulary: Univariate

One variable or information given

Statistics Vocabulary: Bivariate

Two variables or pieces of information given

Statistics Vocabulary: Categorical

Information can be separated into categories

Statistics Vocabulary: Numerical

Information is given by numbers

Statistics Vocabulary: Correlation

One variable relates to the other

Statistics Vocabulary: Residual

Distance a point is away from the line of best fit

Statistics Vocabulary: Q1 and Q2

Quartile 1 - median of lower half of data; Quartile 2 - median of upper half of data

Linear and Quadratic Functions Flashcards

Student preview

54 questions

Show all answers

1.

FLASHCARD QUESTION

Front

Linear Functions: Slope Formula

Back

2.

FLASHCARD QUESTION

Front

Horizontal and Vertical Lines

Back

Horizontal lines: $ y = c $ Vertical lines: $ x = c $

3.

FLASHCARD QUESTION

Front

Slope Intercept Form

Back

$ y = mx + b $

4.

FLASHCARD QUESTION

Front

Point Slope Form

Back

$ y - y_1 = m(x - x_1) $

5.

FLASHCARD QUESTION

Front

Standard Form of a Line

Back

$ Ax + By = C $

6.

FLASHCARD QUESTION

Front

Parallel and Perpendicular Lines

Back

Parallel lines have the same slope. Perpendicular lines have opposite reciprocal slopes.

7.

FLASHCARD QUESTION

Front

Quadratic Functions: 'a' Value

Back

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