Sketch the quadratic function f(x) = x2 + 4x + 3. Which key feature of the graph is given incorrectly?
2 answers:
Given quadratic function
Let us find vertex of the graph first.
x-coordinate of the vertex = -b/2a = -4/2(1) = -4/2 = -2.
y-coordinate of the vertex = (-2)^2+4(-2)+3 = 4-8+3 = -1.
Therefore, vertex is at (-2,-1).
The leading coefficient of quadratic function f(x)= x^2+4x+3 is 1.
And it's a positive number.
So, the parabola open up and it would have a minimum at it's vertex point.
Let us find some more points on the graph :
x=-3
(-3)^2 +4(-3) +3 = 9 -12 +3 =0
x=-1
(-1)^2 +4(-1) +3 = 1 -4 +3 = 0.
<em>From the graph, we can see vertex is at (-2,-1) and x-intercepts at (-1,0), (-3,0) and y-intercept at (0,3).</em>
Therefore, following is the key feature of the graph is given incorrectly:
<h2>B) y-intercept (0, 2) </h2>
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x= -0.25 and 1.25
x = -0.5 and 1.5
x = 0 and 1
x = -0.375 and 1.625
Step-by-step explanation:
Given equation of the curve is
(i)
First equation
Here y = 0
In x-axis the value of y = 0
The graph cuts the x-axis at(-0.25,0) and (1.25,0)
So, x= -0.25 and 1.25
(ii)
here y = 2
The line y= 2 cuts the curve at (-0.5,2) and (1.5,2)
So, x = -0.5 and 1.5
Given equation of the curve is
(i)
Here y = -1
The line y = -1 cuts the curve at (0,-1) and (1,-1)
So x = 0 and 1
(ii)
Here y = x+1
The line y -x =1 cuts the curve at (-0.375,0.5) and (1.625,2).
So x = -0.375 and 1.625
Answer:
Final answer
(4X+1)(4X-3)
