Answer:
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Step-by-step explanation:
Answer: Vertex : Maximum (2, 0)
Rules:
- (x + d)² = x² + 2dx + d² and (x - d)² = x² - 2dx + d²
- x² + 2dx = (x + d)² - d² and x² - 2dx = (x - d)² - d²
Solve:
x² - 4x + 4
x² - 2(2x) + 2²
(x - 2)²
Into vertex form: a(x - h)² + k
1(x - 2)² + 0
Identify:
vertex : (h, k) = (2, 0)
Find additional things, to graph the equation:
(i) x-intercept: (2, 0)
(ii) y-intercept: (0, 4)
Graph shown:
Subtract 7 from both sides
x^2 - 6x - 7 = 7 - 7
Simplify
x^2 - 6x - 7 = 0
Answer :
The final solutions to the quadratic equation are:
x = 7, -1
first find the midpoint using formula and then use distance formula to find the radius and apply the formula for eqn of circle when center are given.
and answer is A