Answer:
vertex = (- 1, - 4 )
Step-by-step explanation:
Given a parabola in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
x = -
y = x² + 2x - 3 ← is in standard form
with a = 1, b = 2 , then
x = - = - 1
Substitute x = - 1 into the equation for corresponding value of y
y = (- 1)² + 2(- 1) - 3 = 1 - 2 - 3 = - 4
vertex = (- 1, - 4 )
Answer:
The side closest to P is the side that is on the same side of the angle bisector as P.
Step-by-step explanation:
The angle bisector is the line containing all the points equidistant from the sides of the angle. Points on one side of the angle bisector are closer to the angle side that is on that side of the angle bisector.
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The attached diagram shows the angle bisector as a dashed line. A couple of different locations for P are shown (P1 and P2). Apparently, we're concerned here with the distance from P along the perpendicular to each side of the angle. For P2 (on the left side of the angle bisector), it may be clear that the left perpendicular is shorter than the right one. Likewise, for P1, the right perpendicular will be shorter.
Answer:
C. No, more than one output value x is assigned to the input y-value
Step-by-step explanation:
Given
х у
-3 -2
3 6
0 7
1 7
2 4
3 - 1
Required
State if the table shows x as a function of y
x being a function of y means
i.e. x represents the output while y represents the input of the function
Note that each value of y (input) must be assigned to separate values of x (output) for a function to be established
Having said;
Next step: We have to examine the x and y column
In the y column, the value 7 occurred twice (as shown below)
<em>х у </em>
<em>0 7 </em>
<em>1 7 </em>
<em />
This implies that;
Input 7 gives output of 0 and 1.
<em>Hence, this is not a function.</em>
<em>Option C answers the question.</em>