kwilly60
21.03.2020 •
Mathematics
Vertex=
Y-intercept=
X-intercept=
Range=
Axis of symmetry =
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Ответ:
Vertex = (1 , 4)
Y-intercept = (0 , 3)
X-intercept = (-1 , 0) and (3 , 0)
Range is y ≤ 4
Axis of symmetry is at x = 1
Step-by-step explanation:
The quadratic function y = ax² + bx + c is represented graphically by a parabola
The parabola has a vertex point (h , k) which is minimum point if the parabola is opened upward or maximum if it is oped downwardThe axis of symmetry of the parabola is a vertical line passes through the vertex point and its equation is x = hThe y-intercept is the intersection point between the parabola and the y-xis (value of y at x = 0)The x-intercepts are the point of intersection between the parabola and the x-axis (values of x at y = 0)The range of the quadratic function is y ≥ k, if the parabola is opened upward or y ≤ k if the parabola is opened downwardFrom the attached graph
∵ The parabola is opened downward
∵ Its highest point is (1 , 4)
∴ h = 1 and k = 4
∴ Its vertex = (1 , 4)
∵ The parabola intersects the y-axis at point (0 , 3)
∴ The y-intercept = (0 , 3)
∵ The parabola intersects the x-axis at points (-1 , 0) and (3 , 0)
∴ The x-intercept = (-1 , 0) and (3 , 0)
∵ The parabola is opened downward
∴ The range is y ≤ k
∵ k is the value of y of the vertex point
∴ k = 4
∴ The range is y ≤ 4
The axis of symmetry of the parabola is a vertical line passes through the vertex point
∵ The equation of the axis of symmetry is x = h
∵ h is the x-coordinate of the vertex point
∴ h = 1
∴ The axis of symmetry is at x = 1
Ответ:
The First answer is
VWXZ+VWXY+WYZ+VXY+VWZ+XYZ
The second possible answer is:
VWXZ+VWYZ+WYZ+VXY+VWZ+XYZ
Step-by-step explanation:
First we draw the k-maps for the function . There are two k-maps, one with V as zero while the other is V as 1. Then we combine the entries in power of 2. Remember that the function is given in maxterms form.Max-terms are those whose value is 0. So all the values other than max-values are either 1 or don't care. So we will keep these terms 0 and other as 1. The k-maps are attached in the files below. The essential prime implicants are those which are repeated in all the possible solutions.In this case Essential prime implicants are :
VWXZ+WYZ+VXY+VWZ+XYZ
http://www.32x8.com/sop5A-B-C-D-Em_4-5-7-8-10-14-15-16-17-18-21-22-23-31d_1-2-12-13option-0899788976571894282724?fbclid=IwAR2BaNgaMe0FXK1AEcwzLb1tkw5Oo-DIn-w0QNxE6ck9nYOSS1GnGtWC4SU