Answer:
Vertex: (5, 4)
Step-by-step explanation:
Quadratic Transformations Equation: f(x) = a(bx - h)² + k
<em>a</em> - vertical shrink/stretch
<em>b</em> - horizontal shrink/stretch
<em>h</em> - horizontal movement left/right
<em>k</em> - vertical movement up/down
<em>h, k</em> - vertex
A quadratic equation has the general formula expressed as:<span>
ax^2 + bx - c = 0
This equation can be solved by the quadratic formula which is expressed as:
x = ( -b (+ or -) √(b^2 - 4ac) / 2a
From the given equation,
a = 9
b = -54
c = -19
x = ( -(-54) (+ or -) √((-54)^2 - 4(9)(-19)) / 2(9)
x1 = 19/3
<span>x2 = -1/3</span></span>
Answer:
R = sqrt 3 * (V /( pi * h))
V = 62.8
pi = 3.14
h = 15
now we sub
R = sqrt 3 * (62.8 / (3.14 * 15)
R = sqrt 3 * (62.6 / 47.1)
R = sqrt 3 * 1.33
R = sqrt 3.99
R = 1.9 rounds to 2 inches <===
Step-by-step explanation:
Answer:
(1,-5) basically x and y -5 is your y and 1 is your rise and run.
Step-by-step explanation:
There are 72 different combinations that are possible. Hope that helps!