Quadratic Relations

A parabola is described by the following equation:

$y=x^2+4x$`y`=`x`2+4`x`

a

Find the $x$`x` values of the $x$`x`-intercepts of this parabola. Write both answers on the same line separated by a comma.

b

Find the $y$`y` value of the $y$`y`-intercept for this parabola.

c

What is the equation of the axis of symmetry for this parabola.

d

Find the coordinates of the vertex for this parabola.

Vertex $=$= $\left(\editable{},\editable{}\right)$(,)

e

Plot the graph for the parabola.

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Easy

5min

Consider the quadratic function $y=x^2+2x-8$`y`=`x`2+2`x`−8.

Easy

4min

Consider the quadratic function $y=-2x^2+16x-24$`y`=−2`x`2+16`x`−24.

Easy

5min

The equation $y=x^2+2x-3$`y`=`x`2+2`x`−3 represents a parabola.

Easy

6min

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Determine the zeros and the maximum or minimum value of a quadratic relation from its graph or from its defining equation