<h2>
Answer:</h2><h3>
A. Domain </h3>
The domain of a function is the x-values that the graph applies to. This means that the domain is whatever x-values the graph crosses. All vertical parabolas (like the one pictured) have a domain of all reals. This is because any x-value could be plugged into the function and provide a y-value. while it may not seem like it, that graph will cover every single x-value in existence.
<h3>
B. Range</h3>
The range is similar to the domain but is for y-values. So, the range is whatever y-values the graph applies to and crosses. As you can see from the graph, there are no y-values above 1. This means the range is y≤1.
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C. Increasing Interval</h3>
A graph is increasing when the y-values are increasing. So, on the parent function of a parabola, the graph increases to the right and decreases to the left. However, this graph is inverted and shifted to the left, so the interval will also be flipped and shifted. In this case, the graph increases from -∞ to 2.
- Increasing Interval = [-∞, 2]
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D. Decreasing Interval</h3>
The decreasing interval is very similar to the increasing interval. This interval applies when the y-values are decreasing as the x-values increase. For a parabola, the increasing and decreasing intervals always meet at the x-value of the vertex, which is 2 on this graph. The y-values decrease during the interval 2 to ∞.
- Decreasing Interval = [2, ∞]
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E. Opening</h3>
The direction of a parabola is decided by the sign (+ or -) of the leading coefficient. Positive coefficients open up and negative opens down. As you can see from the graph, the sides of the parabola point downwards. This means that the leading coefficient must be negative.
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F. Min and Max</h3>
A parabola will always only have a min or a max, never both. If a graph opens up it has a min because there is one y-value which is the minimum possible y-value. Graphs that open downwards have a maximum because there is one y-value that is the largest possible. So, this graph has a maximum of 1 because that is the largest possible y-value.
Answer:
12
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
(x - 9)² + (y - 4)² = 36 ← is in standard form
with r² = 36 ⇒ r = 
= 6
diameter = 2 × r = 2 × 6 = 12
The value of n from the solution set is <u>3.</u>
<u>calculation:-</u>
⇒ 4n + 8 = 2
⇒ 4n = 20 - 8
= 4n = 12
= n = 12/4
⇒ n = <u>3</u>
Therefore, from the given set 3,8,10,12, the value of n will be 3.
A linear equation is an algebraic equation in which each term has an exponent of 1 or 0, and the graph of this equation is always a straight line. A measure of a metal's response to cold working. Cold working is the plastic deformation of metals below their recrystallization temperature and is used in many manufacturing processes such as wire drawing, forging, and rolling.
The value of an expression is the result of the computation described by this expression when the contained variables and constants are assigned values. In algebraic expressions, letters can be used to represent numbers. Interpret and compute all rational numbers. Add subtract multiply divide and display percentages for all decimals and fractions.
Learn more about The equation here:-brainly.com/question/18831322
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The slope of the line is five because upon factoring you recieve
y - 4 = 5x -10
which the slope is always the number connected to the x
Next plug in -2 or 2 to find if it is a point on the graph
upon plugging in 2
4 - 4 = 5(2) - 10
0 = 0
D would be the correct answer
Answer:
Step-by-step explanation:
Hello, this is a factorization algebra case:
a) 7(X+6)
b) 11y + 7
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