Answer:
k = 3
Step-by-step explanation:
Given
f(x) = 0.5x
g(x) = 0.5x - k
Required
Find k
<em>The question illustrates changing of positions of lines along the x and/or y axis;</em>
<em>But in this case; if graph f(x) is shifted down, then it represents a negative shift of points in the y axis.</em>
Given that f(x) = 0.5x
and f(x) is shifted down by 3 units to give g(x); then:
f(x) - 3 = g(x)
Substitute 0.5x for f(x)
0.5x - 3 = g(x)
Recall that g(x) = 0.5x - k ---------- (given)
0.5x - 3 = 0.5x - k
Subtract 0.5x from both sides
-0.5x + 0.5x - 3 = -0.5x + 0.5x - k
-3 = -k
Multiply both sides by -1
-3 * -1 = -k * -1
3 = k
k = 3
<em>Hence, the value of k is 3</em>
Answer:
Given below
Step-by-step explanation:
The algebraic identity is (a-b)^2
= a^2 + b^2 - 2ab
So it'll be,
(x-4)^2
= x^2 + (4)^2 - (2)(x)(4)
= x^2 -8x + 16
or x^2 +16 -8x
Answer:
<span>(−2, 3), because both lines pass through this point
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</span>hope that helps
