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Start by identifying the values of a, b, and c.
Vertex: (0,- 5)
Axis of Symmetry: x=0
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)=6x^2-5 ⇔ f(x)= 6x^2+ 0x+( - 5) We can see that a= 6, b= 0, and c= - 5. Now, we will follow four steps to graph the function.
a= 6, b= 0
Zero Property of Multiplication
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, - 5). Let's plot this point.
We can now draw the graph of the function. Since a= 6, which is positive, the parabola will open upwards. Let's connect the three points with a smooth curve.