The range of the function on the graph is:
all the real numbers greater than or equal to –3
<h3>Further explanation</h3>Discriminant of quadratic equation ( ax² + bx + c = 0 ) could be calculated by using :
<h2>D = b² - 4 a c</h2>From the value of Discriminant , we know how many solutions the equation has by condition :
D < 0 → No Real Roots
D = 0 → One Real Root
D > 0 → Two Real Roots
Let us now tackle the problem!
Assume the curved line fits quadratic function with general equation:
<h2>y = a ( x - h )² + k </h2><em>where : ( h, k ) → the turning point</em>
It is given that the turning point is ( 2 , - 3 ) , then:
y = a ( x - 2 )² - 3
The curved line crosses the y - axis at ( 0, 1 ) , then:
y = a ( x - 2 )² - 3
1 = a ( 0 - 2 )² - 3
1 + 3 = a ( -2 )²
4 = a ( 4 )
a = 4 ÷ 4
a = 1
The quadratic function could be approximated as :
<h2>y = ( x - 2 )² - 3</h2>From the attachment it could be concluded that the range of the function on the graph is :
All the real numbers greater than or equal to –3 , i. e :
<h2>Range = { y | y ≥ -3 , y ∈ R }</h2>Grade: High School
Subject: Mathematics
Chapter: Quadratic Equations
Keywords: Quadratic , Equation , Discriminant , Real , Number , Solution , Zero , Root
Answer:
Step-by-step explanation:
Given
Required
Determine the per capita
The per capita is calculated by dividing number of books by people as follows;
Substitute 2.7 * 10^3 for books and 42 for people
(Approximated)
<em>Hence, the per capita is 64</em>
Answer:
The opposite of subtraction is addition, so you would have to add 4 to both sides: