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The equation 
y=2x^(2)-7x+1 is graphed in the 
xy-plane. What is the 
y-intercept of the graph?
Choose 1 answer:
(A) -1
(B) 1
(c) 2
(D) 7

The equation y=2x27x+1 y=2 x^{2}-7 x+1 is graphed in the xy x y -plane. What is the y y -intercept of the graph?\newlineChoose 11 answer:\newline(A) 1-1\newline(B) 11\newline(C) 22\newline(D) 77

Full solution

Q. The equation y=2x27x+1 y=2 x^{2}-7 x+1 is graphed in the xy x y -plane. What is the y y -intercept of the graph?\newlineChoose 11 answer:\newline(A) 1-1\newline(B) 11\newline(C) 22\newline(D) 77
  1. Identify y-intercept: Identify the y-intercept on the graph of the equation.\newlineThe y-intercept occurs where the graph crosses the y-axis, which is when x=0x=0.
  2. Substitute x=0x=0: Substitute x=0x=0 into the equation to find the y-intercept.y=2(0)27(0)+1y = 2(0)^2 - 7(0) + 1y=00+1y = 0 - 0 + 1y=1y = 1
  3. Verify calculation: Verify the calculation for any mathematical errors.\newlineThe calculation is straightforward with no operations other than substitution and basic arithmetic, so there is no math error.

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