Concept explainers
To graph: The quadratic function using zeros.
Explanation of Solution
Given information:
The quadratic function
Graph:
Let’s graph using x intercepts and the vertex. Find the x coordinates of vertex using
So,
x coordinate of vertex
y coordinate of vertex is given by plug in x as 1.5 into the equation.
Simplify it
Vertex is at (1.5, 12.5)
Now, let’s find x intercepts to graph.
x intercept is when
Divide both sides by -2. It gives
Now, find two integers whose multiplication is -4 but adds to -3 to factor.
It is
So, factored form would be
Using zero product property
Solve each equation for ‘x’
Let’s represent the vertex (1.5, 12.5) and x intercepts (4,0) and (-1,0) to graph the parabola.
Interpretation: The graph is open down parabola with vertex as it’s maximum.
Chapter 8 Solutions
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