You cannot graph quadratics by finding its zeros: you need a lot more points.
Some quadratics will have no zeros. Having the zeros does not tell you whether the quadratic is open at the top (cup or smiley face) or open at the bottom (cap or grumpy face). Furthermore, it gives no indication as to how far above, or below, the apex is.
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The zeros will only tell you where the graph crosses the x-axis (if it does at all). That will help in graphing the equation, but you will need some additional information, as well.
Translation is moving a graph to the left or right, up or down (or both). Given a quadratic equation of the form y = ax^2 + bx + c, if you substitute u = x - p and v = y - q then the graph of v against u will be the same as the x-y graph, translated to the left by p and downwards by q.
they're not
A scatter graph.
The zeros of functions are the solutions of the functions when finding where a parabola intercepts the x-axis, hence the other names: roots and x-intercepts.
1. Quadratics should always contain a set of numbers inconjuction with letters (x usually). 2. Quadratics are always in the form ax2 + bx + c. Where a,b and c are constants and x is a variable. 'a' must always equal '0'. 3. The total equation must never equal '0'. 4. To solve quadratics, you DO NOT factorise. 5. To solve quadratics, use the formula x=a, therefore, b=c. 6. The word 'quadratics' literally means four. This in term means that there are four ways you can solve for the answer of the equation.