Draw the graph of y = x² – 4x + 3. Identify the intercepts (x and y), the vertex, and the axis of symmetry.
1 answer:
Answer:
y-intercept : 3
x-intercepts are 1 and 2
Vertex is at (2,-1)
Axis of symmetry is at x = 2
Step-by-step explanation:
See attached graph.
The equation y = x² – 4x + 3 represents a parabola
y-intercept at is at B(0,3); y-intercept is 3
x-intercept points at C(1,0) and D(3,0) so x-intercepts are 1 and 3
The vertex is the lowest point on this parabola (2-1)
Axis of symmetry is a line passing through the vertex and dividing the parabola into two equal halves. This is the vertical line x = 2
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Answer:
y = x - 2
Step-by-step explanation:
Given coordinate:
( − 6 , − 1 )
Equation of the given line is 6x− y = 7
Unknown:
Equation of the line that passes through the point and is perpendicular = ?
Solution:
A perpendicular line will have a slope that is of negative inverse to the one given;
6x - y = 7
-y = -6x + 7
y = 6x - 7
According to y= mx + c
y and x are the coordinates
m is the slope
c is the y-intercept
Therefore, the slope of the line = 6
Perpendicular to this =
The new line will be;
Let find the intercept;
-1 = x (-6) + c
-1 = 1 + c
c = -2
The new line is;
y = x - 2