Quadratic Key Features: Sketching and Analyzing Quadratic Functions, Exercises of Mathematics

A series of problems and exercises designed to help students understand the key features of quadratic functions, including the y-intercept, vertex, axis of symmetry, domain, range, x-intercept, and maximum and minimum points. The problems involve sketching graphs of quadratic functions given certain attributes and describing the attributes of given graphs using a provided word bank.

Typology: Exercises

2022/2023

Uploaded on 03/16/2024

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NAME_______________________________DATE______________PD_____
Quadratic Key Features Pt. 1
Sketch a graph of the quadratic function with the given attributes.
PROBLEM 1
โ—Y-intercept of 3
โ—Vertex at (-2, 1)
PROBLEM 2
โ—Axis of symmetry at
x=โˆ’2
โ—Range
y โ‰ฅโˆ’4
PROBLEM 3 PROBLEM 4
โ—Y-intercept at -3
โ—A zero at 5
โ—Negative leading coefficient
โ—No x-intercepts
โ—A negative y-intercept
NAME_______________________________DATE______________PD_____
Quadratic Key Features Pt. 1
Sketch a graph of the quadratic function with the given attributes.
PROBLEM 1
โ—Y-intercept of 3
โ—Vertex at (-2, 1)
PROBLEM 2
โ—Axis of symmetry at
x=โˆ’2
โ—Range
y โ‰ฅโˆ’4
PROBLEM 3 PROBLEM 4
pf3
pf4
pf5

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NAME_______________________________DATE______________PD_____

Quadratic Key Features Pt. 1

Sketch a graph of the quadratic function with the given attributes. PROBLEM 1 โ— Y-intercept of 3 โ— Vertex at (-2, 1)

PROBLEM 2

โ— Axis of symmetry at x =โˆ’^2

โ— Range y^ โ‰ฅ โˆ’^4

PROBLEM 3 PROBLEM 4

โ— Y-intercept at - โ— A zero at 5 โ— Negative leading coefficient โ— No x-intercepts โ— A negative y-intercept NAME_______________________________DATE______________PD_____

Quadratic Key Features Pt. 1

Sketch a graph of the quadratic function with the given attributes. PROBLEM 1 โ— Y-intercept of 3 โ— Vertex at (-2, 1)

PROBLEM 2

โ— Axis of symmetry at x =โˆ’^2

โ— Range y^ โ‰ฅ โˆ’^4

PROBLEM 3 PROBLEM 4

โ— Y-intercept at - โ— A zero at 5 โ— Negative leading coefficient โ— No x-intercepts โ— A negative y-intercept

Quadratic Key Features Pt. 2

Given the graph of the quadratic function, describe 3 attributes using the word bank below. x-intercept vertex maximum domain y-intercept axis of symmetry minimum range PROBLEM A PROBLEM B

โ— _________________________

โ— _________________________

โ— _________________________

โ— _________________________

โ— _________________________

โ— ________________________

PROBLEM C

โ— _________________________

โ— _________________________

โ— _________________________

PROBLEM D

โ— _________________________

โ— _________________________

โ— _________________________

EXAMPLE 1

โ— Has a minimum point โ— Passes through the points (5, 4) and (-3, 4)

EXAMPLE 2

โ— _________________________

โ— _________________________

โ— _________________________

2/12 QUADRATIC KEY FEATURES NOTES

I CAN ______________________________________________

___________________________________________________

Key Features Review โ€“ Place the words in the correct box.

EXAMPLE 1

โ— Has a minimum point โ— Passes through the points (5, 4) and (-3, 4)

EXAMPLE 2

โ— _________________________

โ— _________________________

โ— _________________________