Answer:
A): f(x) = (x – 1)² + 2
Step-by-step explanation:
The quadratic function, f(x) = (x – 1)² + 2 is in <u>vertex form</u>: y = a(x - h)² + k, where:
- The vertex of the graph is (h,k).
- The value of <em>a</em> determines whether the graph opens up or down. If <em>a</em><em> </em>is <u>positive</u>, the graph opens up and the vertex is its minimum point. If <em>a </em>is <u>negative</u>, then the graph opens down, and the vertex is its maximum point.
- The value of <em>h</em> determines how far left or right the parent function is translated.
- The value of<em> k</em> determines how far up or down the parent function is translated.
The function, f(x) = (x – 1)² + 2, provides the pertinent information that allows us to determine the parabola's <u>minimum value</u>, as the value of <em>a</em> is a <u>positive</u>, which implies that the parabola is <em>upward facing</em>, and the vertex, (1, 2) is the minimum point.
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Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
From the question the equation of the line is
y = 3x - 4
Comparing with the general equation above
The slope /m = 3
The y intercept / c = - 4
Hope this helps you
Answer:
295.68
Step-by-step explanation:
1) Triangle QRT, where q = 32.4 ft, r = 29.8 ft, t = 42.1 ft
No this cannot make a second triangle
2) Triangle ABC, where B = 62°, a = 11.52 m, c = 19.34 m
No this cannot make a second triangle
3) Both of the triangles cannot make a second triangle
<h3>How does law of sine work</h3>
The following is a detailed explanation of the sine law: In a triangle, side "a" divided by angle sine "a" equals side "b" divided by angle sine "b" equals side "c" divided by angle sine "c."
The formula for law of sine is written as
Sine A a = Sine B/ b = Sine C / c
These law helps in determining the given angles and sides
For the situation given; both cannot be used to make a second triangle
Learn more about conditions Infinite number of triangles at:
brainly.com/question/29637739
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Answer:
a = 6
Step-by-step explanation:
Hello!
Solve:
- 4(3a - 4) = 56
- 3a - 4 = 14 (factoring out 4)
- 3a = 18 (adding 4 to both sides)
- a = 6 (dividing by 3)
Another way:
- 4(3a - 4) = 56
- 12a - 16 = 56 (distributive property)
- 12a = 72 (moving like terms)
- a = 6 (dividing by 12)
Distributive Property of Multiplication:
The process of distributing the outside factor to the terms in the parenthesis.
Example:
