Answer:
The vertex is (-3, 7)
Step-by-step explanation:
As the equation is already in 'rectangular form), to work out the vertex, we can just compare this equation to that of the standard parabola y = x^2, and in particular, consider how it has been translated:
the (x+3) part moves the graph the the left 3 (i.e in the negative direction), while the +7 moves the graph up 7.
So as the vertex of the simple parabola y = x^2 is (0,0), the vertex of this graph is just (-3,7).
Note that the -2 at the front doesn't impact this vertex - this -2 just changes the 'scale' of the parabola (i.e makes it more narrow, and also turns it upside down as it's a negative number).
Each bottle of juice costs $1.05
because 26.91-1.71 = 25.2/24 = 1.05
Answer:
1) Enlargement
2) Reduction
Step-by-step explanation:
Question 1
200% means double, a factor 2
a) 2(2.5) = 5 inches
it's an enlargement
b) 2(original) = new/on the page
Question 2
a) 0.6(24) = 14.4 inches
Reduction
b) 0.6(original) = new/sketch
For area A, the width will be √(3A/4), so for the three rugs, the widths are 6 ft, 9 ft, 12 ft. Corresponding lengths are 4/3 times that, so are 8 ft, 12 ft, 16 ft.
The rug dimensions are
.. 6 ft x 8 ft
.. 9 ft x 12 ft
.. 12 ft x 16 ft
Pick the one(s) that are on your list.
Answer:
See attached picture. :)
Step-by-step explanation:
Simply look at the given x values in the table and whatever x equals in the table, put that value in the equation. For example, y = -x + 7. In the table x value, 0 is given, so the equation will now be y = 0 + 7. So y = 7 and so forth.
To graph, you take the given x value, 0, and the y value you solved for, 7. Your point on the graph would be (0 , 7). Continue repeating these steps till you complete the table and your graph. :)