Chapter 4 - Polynomial and Rational Functions - 4.1 Polynomial Functions and Models - 4.1 Assess Your Understanding - Page 184: 1

$(0,9),(-2,0),(2,0)$

We are given the equation: $9x^2+4y=36$ Rewrite the equation: $4y=-9x^2+36$ $y=-\dfrac{9}{4}x^2+9$ Determine the intercepts: $x=0\Rightarrow y=-\dfrac{9}{4}(0^2)+9=9$ $y=0\Rightarrow -\dfrac{9}{4}x^2+9=0$ $\dfrac{9}{4}x^2=9$ $x^2=4$ $x=\pm 2$ The points are: $(0,9),(-2,0),(2,0)$