Chapter 5 Polynomials and Polynomial Functions - 5.1 Use Properties of Exponents - 5.1 Exercises - Mixed Review - Page 335: 57

See the graph

$y=x^2+4$ The function is already in quadratic standard form $y=ax^2+bx+c$ with $a=1, b=0, c=4$. Find the x-coordinate: $x=-\frac{b}{2a}=-\frac{0}{2.1}=0$ Substitute for x: $y=0^2+4 \rightarrow y=4$ The vertex is $(0,4)$ Also the axis of symmetry is $x=0$ Find some other points: $x=-1 \rightarrow y=5$ $x=1 \rightarrow y=5$ $x=-2 \rightarrow y=8$ $x=2 \rightarrow y=8$