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Start by identifying the values of a, b, and c.
Vertex: (- 1,- 3.5)
Axis of Symmetry: x=- 1
Graph:
To draw the graph of the given quadratic function, written in standard form, we must start by identifying the values of a, b, and c. f(x)=0.5x^2+x-3 ⇔ f(x)=0.5x^2+1x+(- 3) We can see that a=0.5, b=1, and c=- 3. Now, we will follow four steps to graph the function.
The y-intercept of the graph of a quadratic function written in standard form is given by the value of c. Thus, the point where our graph intercepts the y-axis is (0,- 3). Let's plot this point and its reflection across the axis of symmetry.
We can now draw the graph of the function. Since a=0.5, which is positive, the parabola will open upwards. Let's connect the three points with a smooth curve.