The location of point D is (7,1) the location of point F is (5,4). Determine the location of point E which is 1/3 of the way fro
1 answer:
Answer:
( 19/3 , 2 )
Step-by-step explanation:
Given in the question,
point D(7,1)
x1 = 7
y1 = 1
point F(5,4)
x2 = 5
y2 = 4
Location of point E which is 1/3 of the way from D to F
which means ratio of point E from D to F is 1 : 2
<h3>a : b</h3>
1 : 2
xk =
yk =
Plug values in the equation
xk = 7 + (1)/(1+2) (5-7)
xk = 19/3
yk = 1 + (1)/(1+2)(4-1)
yk = 2
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f(x) = 2 -4x
Step-by-step explanation:
Step 1 :
Given, f(x) = a(x - h)2 + k
Point on the parabola is (3, 6)
Vertex (h,k) = (1,-2)
Step 2:
Substituting the vertex in the equation we have,
f(x) = a(x-1)2 -2
Substituting the point (3,6) in this we have,
6 = a(3-1)2 - 2 => 6 = 4a -2
=> 4a = 8 => a = 2
Step 3 :
Substituting the value for a and the vertex in the given equation we have
f(x) = 2(x-1)2 -2 = 2(x2 - 2x + 1) -2 = 2x2 - 4x
=> f(x) = 2 -4x which is the standard form