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foodisbae45678
02.07.2019 •
Mathematics
Sketch the quadratic function f(x) = x2 + 4x + 3. which key feature of the graph is given incorrectly? a) minimum (-2, -1) b) y-intercept (0, 2) c) x-intercept (-3, 0) d) x-intercept (-1, 0) hurry if possible
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Ответ:
Given quadratic function![f(x)= x^2+4x+3.](/tpl/images/0042/7417/d378c.png)
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.
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).
Therefore, following is the key feature of the graph is given incorrectly:
B) y-intercept (0, 2)Ответ:
617.48
Step-by-step explanation:
SI = P x R x T / 100
SI = Simple Interest
P = Principal
R = Rate
T = Time
SI = 359 x 9 x 8 / 100
=> SI = 2872 x 9 /100
=> SI = 25848 /100
=> SI = 258.48
New Balance = Principal + Simple Interest
=> New Balance = 359 + 258.48
=> New Balance = 617.48