If the graph of the function y=x^2 is reflected over the x-axis , then translated two units left,write an equation to represent
the function
1 answer:
Answer: y = -(x + 2)²
<u>Step-by-step explanation:</u>
The vertex form of a quadratic equation is: y = a(bx - h)² + k where
- a: vertical stretch (if negative it is a reflection across x-axis)
- b: horizontal stretch (if negative it is a reflection across y-axis)
- h: horizontal shift (negative is left and positive is right)
- k: vertical shift (negative is down and positive is up)
- (h, k): vertex of the function
Given: reflection over x-axis → a = -1, two units left → c = -2
Input those values into the equation: y = -(x - (-2))²
simplify: y = -(x + 2)²
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Step-by-step explanation:
6 to the second power minius 7 times 3 is 15 then with is cubed it would be 42
