Intro to Graphing Quadratics

Which equation causes the graph to be wider?

• $y=\frac{-2}{3}x^2$

• $y=3x^2+1$

• $y=-4x^2$

• $y=x^{2\ }-2$

Which equation causes the graph to be narrower?

• $y=\frac{-1}{2}x^2$

• $y=4x^2-5$

• $y=x^2+2$

• $y=\frac{1}{4}x^2-1$

Which equation(s) cause the graph to open up? Select all that apply.

• $y=-x^2+1$

• $y=-5x^2+3$

• $y=x^2-6$

• $y=\frac{3}{4}x^2+4$

Which equation(s) cause the graph to open down? Select all that apply.

• $y=2x^2$

• $y=-3x^2$

• $y=\frac{-1}{3}x^2+2$

• $y=x^2-6$

Which equation(s) cause the graph to shift up (positive y-intercept)? Select all that apply.

• $y=-x^2+7$

• $y=x^2$

• $y=\frac{1}{2}x^2-1$

• $y=\frac{3}{4}x^2+2$

Which equation(s) cause the graph to shift down (negative y-intercept)? Select all that apply.

• $y=\frac{1}{2}x^2+5$

• $y=3x^2$

• $y=x^2-4$

• $y=2x^2+1$

Which equations are quadratic? Select all that apply (Hint: put into the proper form first).

•  $y=x^2+1$  

•  $y=3x+2$  

•  $y=1-3x^2+3x$  

•  $y=-2x+4x^2+3$  

Which of the following describe the shape of a quadratic equation (on a graph)? Select all that apply.

• A straight line.

• A circle.

• A parabola.

• A 'U' shape.

What does the letter 'C' represent in a quadratic equation?

• The y-intercept.

• A diagonal shift.

• If the graph opens up or down.

• If the graph gets wider or narrower.

What does the letter 'B' represent in a quadratic equation?

• The y-intercept.

• A diagonal shift.

• If the graph opens up or down.

• If the graph gets wider or narrower.