True
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Answer:
refer attachment for the graph.
Step-by-step explanation:
Given: The equation
We have to draw the the graph for the given equation.
Consider the given equation
The vertex of the parabola of the form is given by
Here, a = 1 , b = -5 and c = 4
Thus, vertex is
Also, the y coordinate at is
Simplify, we get,
Thus, The vertex of parabola is
y - intercept is the point where x = 0
Plug x = 0 in given equation
Thus, y - intercept is (0,4)
Now, we calculate x- intercept
x- intercept is where y is equal to 0.
Put f(x) = 0
We have,
Solving the given quadratic equation using quadratic formula ,we have
we have a = 1 , b = -5 and c = 4
Simplify, we have,
Thus,
Thus, The x - intercept are (4,0) and (0,1)
Plot the graph and we obtain as shown below.