Answer:
See below ~
Explanation:
We need to prove they are equal.
Equate the values to each other.
- 2x² - 6x + 7 = x² - 2x + 3
- x² - 4x + 4 = 0
- (x - 2)² = 0
- x = 2
Now input the x-value in the 1st equation.
- y = 2(2)² - 6(2) + 7
- y = 8 - 12 + 7
- y = -4 + 7
- y = 3
Now input the same in the 2nd equation.
- y = (2)² - 2(2) + 3
- y = 4 - 4 + 3
- y = 3
Since the same x-value, on inputting in both equations, give the same y-value, it is proved they touch each other.
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