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Q: What changes can be made to a quadratic function to shift the graph horizontally?

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the graph of a quadratic function is a parabola. hope this helps xP

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Yes. And the question is ...

The zeros of a quadratic function, if they exist, are the values of the variable at which the graph crosses the horizontal axis.

The parabola

Some do and some don't. It's possible but not necessary.

Yes.

The real solutions are the points at which the graph of the function crosses the x-axis. If the graph never crosses the x-axis, then the solutions are imaginary.

That the function is a quadratic expression.

The wording is confusing, as a quadratic function is normally a function of one variable. If you mean the graph of y = f(x) where f is a quadratic function, then changes to the variable y will do some of those things. The transformation y --> -y will reflect the graph about the x-axis. The transformation y --> Ay (where A is real number) will cause the graph to stretch or shrink vertically. The transformation y --> y+A will translate it up or down.

The graph of a quadratic equation is called a parabola.The graph of a quadratic equation is called a parabola.The graph of a quadratic equation is called a parabola.The graph of a quadratic equation is called a parabola.

No. It can also be a circle, ellipse or hyperbola.

The graph of a quadratic relation is a parobolic.

the graph for a quadratic equation ct5r

When the graph of a quadratic crosses the x-axis twice it means that the quadratic has two real roots. If the graph touches the x-axis at one point the quadratic has 1 repeated root. If the graph does not touch nor cross the x-axis, then the quadratic has no real roots, but it does have 2 complex roots.

You can easily identify the x-intercepts of a graph of a quadratic function by writing it as two binomial factors! Source: I am in Algebra 2 Honors!

Two.

It is the axis of symmetry.

The slope of your quadratic equation in general form or standard form.

The graph of a quadratic equation has the shape of a parabola.

Yes. A quadratic function can have 0, 1, or 2 x-intercepts, and 0, 1, or 2 y-intercepts.

The answer depends on the form in which the quadratic function is given. If it is y = ax2 + bx + c then the x-coordinate of the turning point is -b/(2a)

No vertical line will intersect the graph in more than one point. The fundamental flaw is that no graph can show that it does not happen beyond the domain of the graph.

factors

It is the graph of a quadratic equation of the formy = ax^2 + bx + c