SOLUTION: The graph of Quadratic equation of opens up if(?) and down if(?). Explain why or how that statement is true.
(Hint: consider what happens as x gets more and more positive or more
Algebra.Com
Question 994033: The graph of Quadratic equation of opens up if(?) and down if(?). Explain why or how that statement is true.
(Hint: consider what happens as x gets more and more positive or more and more negative.)
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
f(x)=-x^2. This opens up downward. As x^2 gets larger, -x^2 gets larger negative, so the graph goes down with increasing positive or negative x.
f(x)=x^2, here, when x is positive or negative x^2 is always positive, like the first case. But there is no negative sign in front of the x^2, so the graph opens upward.
RELATED QUESTIONS
The graph of y=ax^2 + bx + C opens up if a > 0 and down if a < 0. Explain why or how that (answered by stanbon)
find the vertex, line of symmetry, maximum/minimum and if the graph opens up or down of... (answered by Fombitz)
If you know that the vertex of a quadratic is at (3, 16) and one of the zeros is at (-1,... (answered by josgarithmetic)
Tell whether each statement is always, sometimes, or never true.
1) If the graph of a... (answered by richard1234)
how can i telln if a graph opens up or down by looking at the... (answered by rapaljer,drj)
Can I have help finding the vortex, line of symmetry, maximum/minimum and if the graph... (answered by Fombitz)
Logic and Reasoning
Given the following true logical statement:
*If inputs x1, x2,... (answered by richwmiller)
Say whether the graph of the equation y=-x^2+4x-1 opens up, down, left, or right.Give the (answered by josgarithmetic,MathTherapy)
if the vertex of the graph of a quadratic function lies in quadrant III and the graph... (answered by rapaljer)