Write an equation of the line passing through the points (4,10) and (-1,-15)
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Answer:
Step-by-step explanation:
A given quadratic has its vertex at (4, 6) and the point (1, -3). We want to write the equation in vertex form of the quadratic.
Recall that vertex form is given by:
Where (<em>h, k</em>) is the vertex and <em>a</em> is the leading coefficient.
Since our vertex is at (4, 6), <em>h</em> = 4 and <em>k</em> = 6:
To determine the leading coefficient, since we are given that (1, -3) is a point on the parabola, when <em>x</em> = 1, <em>y</em> = -3. Substitute and solve for <em>a: </em>
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Hence, the leading coefficient <em>a</em> is -1.
Then our equation in vertex form is: