Answer:
(-3, -17)
Step-by-step explanation:
The best way to find the vertex is to rewrite the given quadratic in vertex form: y - k = a(x - h)^2.
The given quadratic is f(x) = 2x2 + 12x + 1. We will focus on the first two terms and "complete the square." f(x) = 2x2 + 12x + 1 can be rewritten as
f(x) = 2(x^2 + 6x) + 1, which, after completing the square, is
f(x) = 2(x^2 + 6x + 9 - 9) + 1, or
f(x) = 2( (x + 3)^2 - 9 ) + 1, or
f(x) = 2(x + 3)^2 - 17
Comparing this to
f(x) = a(x - h)^2 + k, we see that the vertex is located at (h, k): (-3, -17)
Answer:
the set of first conponent of the ordered pair is called domain
the set of second component of ordered paur is called range
Answer:
8.75
Step-by-step explanation:
Hope I helped
Answer:
77 ft²
Step-by-step explanation:
Given that:
Surface Area of larger pyramid = 539 ft²
Scale factor of the smaller pyramid = 1/7
Tbe surface area of the smaller pyramid will be :
Scale factor * surface area
1/7 * 539ft²
= 539 ft² / 7
= 77 ft²
Answer:
The answer in the procedure
Step-by-step explanation:
we have
This is a vertical parabola open upward with the the vertex at (0,2)
The vertex is a minimum
The y-intercept is the point (0,2) (value of y when the value of x is equal to zero)
The graph does not have x-intercepts, therefore the solutions of the quadratic equation are complex number
using a graphing tool
see the attached figure
