Q. Re-write the quadratic function below in Standard Formy=−5(x+3)2−8Answer: y=
Expand and Distribute: To rewrite the quadratic function in standard form, we need to expand the squared term and distribute the coefficient −5.y=−5(x+3)2−8y=−5(x2+6x+9)−8
Distribute −5: Now, distribute the −5 to each term inside the parentheses.y=−5x2−30x−45−8
Combine Constant Terms: Combine the constant terms to simplify the expression.y=−5x2−30x−53
Quadratic Function in Standard Form: The quadratic function is now in standard form, which is y=ax2+bx+c.
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