Answered

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A quadratic relation has an axis of symmetry represented by the equation x = –3, and one of its x-intercepts at 2. What is the other x-intercept?
a) 1
b) –1
c) –5
d) –8

Sagot :

djtwinx017

Answer:

d) -8

Step-by-step explanation:

Given the axis of symmetry along x = -3, and one of the x-intercepts at (2, 0):

The vertex of a parabola is the point at which the graph intersects the axis of symmetry, which is the imaginary straight line that divides a parabola into two symmetrical parts. The x-coordinate of the vertex, (h, k) is where the axis of symmetry is located.  Thus, x = h.

Since the axis of symmtery is represented by x = -3, then it means that the x-intercepts will be equidistant (in either direction) from the axis of symmtery.

The x-intercept (2, 0) is 5 horizontal units to the right of x = -3.

The other x-intercept must also be 5 horizontal units to the left of x = -3:  

x-intercept:  x = - 3 + (- 5) = -8

Therefore, the other x-intercept is (-8, 0), or at x = -8.    

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