27. f(x) = 3(x + 2)² + 1 28. f(x) = -4(x + 1)2 – 5 %3D 29. f(x) = -2x2 + 5 %3D 30. f(x) = x - 1)2 %3D
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.
![+ 3)2
21. g(x) = (2x)²
22. g(x)
= -(2x)-
- 9)2 + 5
23. g(x) =x? – 4
24. g(x) = (x - 1)2
%3D
3
+ 10)2 – 3
ERROR ANALYSIS In Exercises 25 and 26, describe
and correct the error in analyzing the graph of
f(x) = -6x² + 4.
3
25.
The graph is a reflection in the
y-axis and a vertical stretch
by a factor of 6, followed by a
translation 4 units up of the graph
of the parent quadratic function.
+ 1
26.
The graph is a translation 4 units
followed by a vertical stretch
1) 1
up,
by a factor of 6 and a reflection
in the x-axis of the graph of the
parent quadratic function.
USING STRUCTURE In Exercises 27-30, describe the
transformation of the graph of the parent quadratic
function. Then identify the vertex.
E.
27. f(x) = 3(x + 2)2 + 1
of h
inu!
28. f(x) = -4(x+ 1)2 – 5
29. f(x) = -2x²+ 5
30. f(x) = x – 1)?
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