Answer: The vertex of the parabola (quadratic function) is (-2,-4)
Fourth option: (-2,-4)
Solution:
y=x^2+4x
y=ax^2+bx+c; a=1, b=4, c=0
Vertex: V=(h,k)
h=-b/(2a)
h=-4/(2(1))
h=-4/2
h=-2
y=x^2+4x
k=y=h^2+4h
k=(-2)^2+4(-2)
k=4-8
k=-4
Vertex: V=(h,k)
Vertex: V=( -2, -4)
Answer:
The scatter plot is attached.
Step-by-step explanation:
In a scatter plot, we graph the independent variable on the x-axis and the dependent variable on the y-axis.
In this case, age is independent and weight is dependent.
This means the points we plot are:
(7, 50); (7, 60); (8, 65); (8, 70); (9, 70); (9, 80); (10, 75); and (10, 90).
The length of the base is 6. You can use the formula b=a/h to find the base. <span />
Answer: a = -5
Step-by-step explanation:
First, open up the brackets, and solve it
-12a -42 = -22 -8a. (-6 x 2a, and -6 x 7)
bring the -8a to the left side, so that all the a’s are together
-12a -42 + 8a = -22 (add -42 on both sides like we did with -8a)
-12a + 8a = -22 + 42
solve
-4a = 20
divide -4 on both sides
a = -5
