Find the length of a square when the area is 25cm
1 answer:
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Answer:
Option A: (4, -15).
Step-by-step explanation:
Given the quadratic function, y = x² - 8x + 1, where a = 1, b = -8, and c = 1:
<h3><u>Solve for the x-coordinate of the vertex:</u></h3>We can use the following equation to solve for the x-coordinate of the vertex:
Substitute the given values into the formula:
Hence, the x-coordinate of the vertex is 4.
<h3><u>Solve for the y-coordinate of the vertex:</u></h3>Next, substitute the x-coordinate of the vertex into the given quadratic function to solve for its corresponding y-coordinate:
y = x² - 8x + 1
y = (4)² - 8(4) + 1
y = 16 - 32 + 1
y = -15
Therefore, the vertex of the given quadratic function, y = x² - 8x + 1, is: x = 4, y = -15, or (4, -15). Thus, the correct answer is Option A: (4, -15).