Can someone please help me
2 answers:
Answer:
Option 2: y = a(x + 1)² - 9
Step-by-step explanation:
Given the graph of an upward-facing parabola, whose <u>vertex</u> occurs at point (-1, -9) as its minimum point.
<h2>Vertex Form</h2>Using the <u>vertex form</u> of the quadratic equation, y = a(x - h)² + k:
where:
<em>a</em> = determines the wideness and the direction of where the graph opens.
(h, k) = vertex
<em>h</em> = determines the horizontal translation of the graph
<em>k</em> = determines the vertical translation of the graph
Using the vertex, (-1, -9), and another point from the graph, (2, 0), substitute these values into the vertex form to solve for the value of <em>a</em>:
<h3>y = a(x - h)² + k</h3>0 = a[2 - (-1)]² - 9
0 = a(2 + 1)² - 9
0 = a(9) - 9
Add 9 to both sides to isolate a:
0 + 9 = 9a - 9 + 9
9 = 9a
Divide both sides by 9 to isolate <em>a:</em>
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<em>a </em>= 1
<h2>Final answer:</h2>Therefore, the <u>vertex form</u> of the given parabola is: y = a(x + 1)² - 9.
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Answer:
12/30
Step-by-step explanation:
Here is the complete question
Three of these fractions are equivalent A.30/70 B.12/30 C.9/21 D.6/14 which one is the odd one out
to determine the equivalent fractions, convert the fractions to percentage
× 100 = 42.86%
× 100 = 40%
× 100 = 42.86%
x 100 = 42.86%
Another method is to convert the fraction to its simplest form
30/70
To transform to the simplest form. divide both the numerator and the denominator by 10 = 3/7
12/30
To transform to the simplest form. divide both the numerator and the denominator by 6 = 2/5
9/21
To transform to the simplest form. divide both the numerator and the denominator by 3 = 3/7
6/14
To transform to the simplest form. divide both the numerator and the denominator by 2 = 3/7
Using either methods, 12/30 is the odd one out