Question

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point a on the coordinate plane is translated to point a, as shown. what are the values of h and k in the translation functions f(x)=x + h and g(y)=y + k?
(1 point)
the value of h is and the value of k is.
check answer remaining attempts : 3

Explanation:

1. Explanation:

• Step1: Determine the horizontal - translation \(h\)
• To find the value of \(h\) (horizontal translation), we look at the change in the \(x\) - coordinates of point \(A\) and \(A'\). If the \(x\) - coordinate of point \(A\) is \(x_1\) and the \(x\) - coordinate of point \(A'\) is \(x_2\), then \(h=x_2 - x_1\).
• Step2: Determine the vertical - translation \(k\)
• To find the value of \(k\) (vertical translation), we look at the change in the \(y\) - coordinates of point \(A\) and \(A'\). If the \(y\) - coordinate of point \(A\) is \(y_1\) and the \(y\) - coordinate of point \(A'\) is \(y_2\), then \(k=y_2 - y_1\).

1. Answer:

Since the coordinates of \(A\) and \(A'\) are not given in the text, we cannot calculate the exact values of \(h\) and \(k\). But the general method to find them is as described above. If we assume the coordinates of \(A=(x_1,y_1)\) and \(A'=(x_2,y_2)\), then \(h = x_2 - x_1\) and \(k=y_2 - y_1\).

Answer:

1. Explanation:

• Step1: Determine the horizontal - translation \(h\)
• To find the value of \(h\) (horizontal translation), we look at the change in the \(x\) - coordinates of point \(A\) and \(A'\). If the \(x\) - coordinate of point \(A\) is \(x_1\) and the \(x\) - coordinate of point \(A'\) is \(x_2\), then \(h=x_2 - x_1\).
• Step2: Determine the vertical - translation \(k\)
• To find the value of \(k\) (vertical translation), we look at the change in the \(y\) - coordinates of point \(A\) and \(A'\). If the \(y\) - coordinate of point \(A\) is \(y_1\) and the \(y\) - coordinate of point \(A'\) is \(y_2\), then \(k=y_2 - y_1\).

1. Answer:

Since the coordinates of \(A\) and \(A'\) are not given in the text, we cannot calculate the exact values of \(h\) and \(k\). But the general method to find them is as described above. If we assume the coordinates of \(A=(x_1,y_1)\) and \(A'=(x_2,y_2)\), then \(h = x_2 - x_1\) and \(k=y_2 - y_1\).