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It is the axis of symmetry.

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โˆ™ 2017-04-11 18:40:32
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Algebra

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A polynomial of degree zero is a constant term

The grouping method of factoring can still be used when only some of the terms share a common factor A True B False

The sum or difference of p and q is the of the x-term in the trinomial

A number a power of a variable or a product of the two is a monomial while a polynomial is the of monomials

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Q: The line that cuts the graph of a quadratic function in half is called the axis of what?
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Related questions

How can you use a graph to find zeros of a quadratic function?

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


How are the real solutions of a quadratic equation related to the graph of the quadratic function?

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.


What does it mean when the graph of a quadratic function crosses the x axis twice?

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.


What is the maximum number of times the graph of the quadratic function can cross the x-axis?

Two.


How many times will the graph of a quadratic function cross or touch the x-axis if the discriminant is positive?

It will cross the x-axis twice.


If the discriminant is zero the graph of a quadratic function will cross or touch the x-axis time s?

It will touch the x-axis and not cross it.


If the discriminant is zero the graph of a Quadratic function will cross or touch the x-axis time(s)?

It will touch the x-axis once.


How many times will the graph of a quadratic function cross or touch the x axis if the discriminant is zero?

Once.


If the discriminant is negative the graph of the quadratic function will cross or touch the x-axis how many times?

It would not touch or intersect the x-axis at all.


If the discriminant is negative the graph of a quadratic function will cross or touch the x-axis time s?

If the discriminant is negative, the equation has no real solution - in the graph, the parabola won't cross the x-axis.


If the graph of quadratic function x has a minimum point and intersects the axis of x at 4 and m If the axis of symmetry of the graph is x equal to 5 state the value m and hence state the function x?

...i need the answer to that too...


What does the rule for a quadratic function tell you about how the graph of the function will look?

If the quadratic function is written as ax2 + bx + c then if a > 0 the function is cup shaped and if a < 0 it is cap shaped. (if a = 0 it is not a quadratic) if b2 > 4ac then the equation crosses the x-axis twice. if b2 = 4ac then the equation touches the x-axis (is a tangent to it). if b2 < 4ac then the equation does not cross the x-axis.


Is it possible to have different quadratic equations with the same solution Why?

Yes it is possible. The solutions for a quadratic equation are the points where the function's graph touch the x-axis. There could be 2 places to that even if the graph looks different.


What is the axis of symmetry of a quadratic equation?

If a quadratic function has the points (-4,0) and (14,0), what is equation of the axis of symmetry?


If the discriminant is negative the graph of a quadratic function will cross or touch the x-axis?

No, it will be entirely above the x-axis if the coefficient of x2 > 0, or entirely below if the coeff is <0.


What is the value of y at a point on a quadratic graph when it crosses the x axis?

zero


What is the effect on a graph when you multiply a function by -1?

When a function is multiplied by -1 its graph is reflected in the x-axis.


When the graph of a quadratic function crosses the x axis twice the x coordinate of the vertex lies between the two x intercepts?

that's true


If you are looking a graph of an quadratic equation how do you know where the solutions are?

They will be on the horizontal x axis of the graph (look for the x-intercepts).


What variable in a quadratic function causes the function to transform reflect or have a vertical stretch or shrink?

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.


What are the roots of a quadratic?

The roots of a quadratic function are where the lies interescts with the x-axis. There can be as little as zero.


When you graph a quadratic function what will the shape of the graph be?

A parabola. An arch opening either north or south of the x-axis depending on the sign of the coefficient (negative opens down, positive opens up).


How are the discriminant and the graph of a quadratic equation related?

If the discriminant = 0 then the graph touches the x axis at one point If the discriminant > 0 then the graph touches the x axis at two ponits If the discriminant < 0 then the graph does not meet the x axis


Where do you find the solutions to a quadratic equation on a graph?

On the x axis when y equals 0


When the graph of a quadratic function crosses the x-axis twice the x-coordinate of the lies exactly halfway between the two x-intercepts?

Exactly halfway