Narrower and Wider Functions

Consider the graph of the equation y = a $x^2$   + bx + c, when a $\ne$  0. If a is multiplied by 3, What is true of the graph of the resulting parabola? 

• The vertex is 3 units above the vertex of the original parabola

• The new parabola is 3 units to the right of the original parabola

• the new parabola is wider than the original parabola

• the new parabola is narrower than the original parabola

Melissa graphed the equation y = x² and Dave grpahed the equation y = -3x² on the same coordinate grid. What is the relationship between the graphs that Melissa and Dave drew.

• Dave's graph is wider and opens in the opposite direction from Melissa's graph

• Dave's graph is more narrower and opens in the opposite direction from Melissa's graph

• Dave's graph is wider and is three units below Melissa's graph

• Dave's graph is narrower and is three units to the left of Melissa's graph.

The graph of a parabola is represented by the equation y = ax² where a is a positive integer. If a is multiplied by 2 the new parabola will become

• Narrower and open downward

• Narrower and opens upward

• Wider and opens downward

• Wider and opens upward

Dominick graphs the equation y = a $\left|x\right|$ where a is a positive integer. If Gina multiplies a by - $\frac{1}{3}$   the new graph will become  

• narrower and open downward

• narrower and open upward

• wider and open downward

• wider and open upward

• the parabola becomes wider

• the parabola becomes narrower

• the parabola will shift up four units

• the parabola will shift right four units

How will the graph f(x) = (x - 3) ³ shift from the parent function

• it will move up 3

• it will move right 3

• it will move left 3

• it will move down 3

Tags

CCSS.HSF.BF.B.3

How will the graph $\left|x\right|$  +4 move from its parent function

• it will move down 4

• it will move up 4

• it will get more narrower

• it will get wider

which of the following is an equation that is moved down 2 from its parent function

• $\sqrt{x-2}$

• $\left(x+2\right)^2$

• $\left|x\right|+2$

• $\sqrt{x}-2$

What is the equation of a function that is getting wider

• $\frac{1}{2}\left|x\right|$

• $2\sqrt{x}$

• $\left|x\right|+2$

• $\sqrt{x+2}$

Which is a cubic equation

• $\left(x-3\right)^2$

• $\left|x\right|+3$

• $3\sqrt{x}$

• $x^3-2$