Algebra 1
Quadratic equations and functions
Transformations of quadratic functions
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Questions
Question 1
168123
The parent function is \(f(x) = x^2\). Describe the transformation that produces each function below and state the vertex of each.
(a) \(g(x) = x^2 + 5\)
(b) \(h(x) = x^2 - 3\)
Part a:
Shifted 5 units down; vertex \( (0, -5) \)
Shifted 5 units right; vertex \( (5, 0) \)
Shifted 5 units left; vertex \( (-5, 0) \)
Shifted 5 units up; vertex \( (0, 5) \)
Correct
Part b:
Shifted 3 units up; vertex \( (0, 3) \)
Shifted 3 units left; vertex \( (-3, 0) \)
Shifted 3 units right; vertex \( (3, 0) \)
Shifted 3 units down; vertex \( (0, -3) \)
Correct
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