7. Which of the following sentences best describes the transformation of 10 poir the quadratic function g(x)=(x-1)^2-4 The quadratic parent function was shifted 1 units right and 4 units up. The quadratic parent function was shifted 1 units right and 4 units down The quadratic parent function was shifted 4 units right and 1 units up The quadratic parent function was shifted 1 unit up

The correct answer is: The quadratic parent function was shifted 1 unit right and 4 units down.<br /><br />Explanation:<br />The given quadratic function is $g(x)=(x-1)^{2}-4$.<br /><br />To understand the transformation of the quadratic parent function, we need to compare it with the standard form of a quadratic function, which is $f(x)=ax^2+bx+c$.<br /><br />In the given function, the term $(x-1)^{2}$ indicates a horizontal shift of 1 unit to the right. This is because the term $(x-1)$ represents a horizontal translation of 1 unit to the right.<br /><br />The term $-4$ indicates a vertical shift of 4 units down. This is because the constant term $-4$ represents a vertical translation of 4 units downward.<br /><br />Therefore, the quadratic parent function was shifted 1 unit right and 4 units down.