In Exercises 3-12, describe the transformation of f(x) = x² represented by g. Then graph each function. (See Example 1.) %3D 3. g(x) = x2 - 3 4. g(x) = x2 + 1 %3D 5. g(x) = (x + 2)² 6. g(x) = (x – 4)2 bok %3D %3D - 7. g(x) = (x – 1)² 8. g(x) = (x + 3)2 %3D 9. g(x) = (x + 6)² – 2 10. g(x) = (x – 9)² + 5 %3D %3D 11. g(x) = (x – 7)2 + 1 12. g(x) = (x + 10)² – 3 %3D NOmos
Percentage
A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.
Algebraic Expressions
In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.
Numbers
Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.
Subtraction
Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.
Addition
Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.
![Vocabulary and Core Concept Check
1. COMPLETE THE SENTENCE The graph of a quadratic fune
2. VOCABULARY Identify the vertex of the parabola given E
Monitoring Progress and Modeling with
In Exercises 3-12, describe the transformation of
f(x) = x² represented by g. Then graph each function.
(See Example 1.)
3. g(x) = x2 - 3
4. g(x) = x2 + 1
5. g(x) = (x + 2)²
6. g(x) = (x – 4)2ileboM
7. g(x) = (x – 1)²
8. g(x) = (x + 3)²
9. g(x) = (x + 6)2 – 2 10. g(x) = (x – 9)² + 5
11. g(x) = (x – 7)2 + 1
12. g(x) = (x + 10)² – 3
ON
ANALYZING RELATIONSHIPS
In Exercises 13-16, match the
AY
f
function with the correct
transformation of the graph
of f. Explain your reasoning.
ou uor
13](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffdc82c5e-ca3e-4b42-beff-91d8f26ef3a4%2Fb240feb0-6b5a-43b2-941f-95df489b165e%2Fepg39a_processed.jpeg&w=3840&q=75)
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