Question

Check your Understanding A. Graph the following quadratic functions and determine the vertex, axis of symmetry, opening of the graph, x-intercepts, y-intercept, domain, and range.
1.y=x²-8x+12
Vertex:
Equation of the axis ofsymmetry:
Opening of the graph:
X-intercepts:
Y-intercept:
Domain:
Range:
2.y= -2(x-2)²+2
Vertex:
Equation of the axis ofsymmetry:
Opening of the graph:
X-intercepts:
Y-intercept:
Domain:
Range:
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Answer 1

Answer:

The axis of symmetry always passes through the vertex of the parabola . The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola. For a quadratic function in standard form, y=ax2+bx+c , the axis of symmetry is a vertical line x=−b2a .