Answer:
see attached
Step-by-step explanation:
You have done the hard part: finding the vertex.
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The leading coefficient is the coefficient of the x^2 term. It is +1, a positive number, so the parabola <em>opens upward</em>.
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The x-coordinate of the vertex for a parabola described by ...
f(x) = ax² +bx +c
is ...
x = -b/(2a)
For this parabola, a=1, b=6, c=2, and the x-coordinate of the vertex is ...
x = -6/(2(1)) = -3
The value of the function at that point is ...
f(-3) = (-3)² +6(-3) +2 = 9 -18 +2 = -7
The coordinates of the vertex are ...
(-3, -7)
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The axis of symmetry is the vertical line through the vertex. Its equation will be ...
x = -3
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Some points on the graph can be found by choosing x-values near the vertex value. They will be symmetrical about the axis of symmetry. When the leading coefficient is 1, the y-values will increase above the vertex point by the square of the x-distance from the vertex. The point at x= (-3 +2) will be at y = (-7 +(2²)), or (x, y) = (-1, -3). The symmetrical point is (-5, -3).
Answer:
the number 47 is a prime number
Answer:
B a b i e s
Step-by-step explanation:
It makes it goody
Answer:
y ÷ 6.
Step-by-step explanation:
An expression is a combination of a number(s) and a variable.
Here, we simply need to write the expression from the word problem in mathematical form.
"Number" is unknown.
Variables are used to represent an unknown value.
(The variable in this expression is y).
The word problem says a number y divided by 6.
This simply means: y ÷ 6.
All are congruent. Congruent means identical in size or shape. the different markings on the two shapes show that they are congruent. I can’t fully see number 10 so I can’t say it that one is or not