Question

6. What is the minimum vertical distance between the parabolas t%20%7B%20and%20%7D%20y%3Dx-x%5E%7B2%7D%20%3F%20" id="TexFormula1" title=" y=x^{2}+1 \text { and } y=x-x^{2} ? " alt=" y=x^{2}+1 \text { and } y=x-x^{2} ? " align="absmiddle" class="latex-formula">

Answer 1

Answer:

0.75.

Step-by-step explanation:

1) the required vertical distance is the distance between two vertexes.

2) according to the item 1, the coordinates of the vertexes are:

(y=x²+1): x₀=0; y₀=1;

(y=x-x²): x₀=0.5; y₀=0.25;

3) according to the item 2, the distance between 1 and 0.25 is 0.75.