Simplify the expression: 4(5 – 2w) =
1 answer:
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Answer:
(x - 3)² - 16 = 0
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Subtract 7 from both sides
x² - 6x + 7 = 0 ← in standard form
with a = 1, b = - 6
Given a quadratic in standard form then the x- coordinate of the vertex is
= -
= -
= 3
Substitute x = 3 into the equation for y
y = 3² - 6(3) - 7 = 9 - 18 - 7 = - 16 ⇒ (h, k) = (3, - 16)
y = (x - 3)² - 16 = 0
The function that has the same graph as x + y = 11 is f(x) = -x + 11
<h3>Graph of functions</h3>From the question, we are to determine the function that has the same graph as the given equation
The given equation is
x + y = 11
In the above equation, y is the dependent variable.
and
Among the given equation, f(x) is the dependent variable
Thus, we can write that
x + f(x) = 11
Isolate f(x)
f(x) = -x + 11
Hence, the function that has the same graph as x + y = 11 is f(x) = -x + 11
Learn more on Graph of functions here: brainly.com/question/20388062
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