Vertical Stretches & Compressions Practice

Question

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Question
Use the image to answer the question.

Two open, downward facing parabolas of different sizes that share a vertex are plotted on a coordinate plane. 1 is a solid line and 1 is a dotted line.

Identify the k-value for the vertical stretch from the original function (the solid parabola) to the dilated function (the dotted parabola).

(1 point)
k=

Answer 1

To determine the k-value for the vertical stretch from the original function (the solid parabola) to the dilated function (the dotted parabola), you would typically compare the coefficients of the parabolas' equations.

If the equation of the original solid parabola is \( y = ax^2 \) and the equation of the dotted parabola is \( y = kax^2 \), then the k-value represents how many times you stretch or compress the original parabola vertically.

Since I'm unable to see the image you mentioned, I can't provide a specific numerical value for k. However, the k-value can be found by identifying the coefficient in front of the \( x^2 \) term of the dotted parabola's equation, divided by the original solid parabola's coefficient.

If you can provide further details about the equations of the parabolas or the changes in their appearance on the graph, I can help you calculate the k-value more specifically!