A function h(x) is defined as h(x)=−5/7 x−3. By how much h(x) will decrease/increase, if x decreases by 21?
1 answer:
Answer:
h(x) increases by 15 units.
Step-by-step explanation:
Given that
This is nothing but a straight line with slope equal = -5/7
Hence rate of change of y with respect to x =-5/7
Or for a unit increase in we have 5/7 decrease in h(x)
Using the above we find that when x decreases by 21
we have h(x) to increase by 21(5/7)
=15
So y increases by 15 units
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Answer:
Step-by-step explanation:
Vertex form of a quadratic equation;
Vertex of the parabolas (h, k)
The vertex of the parabola is either the minimum or maximum of the parabola. The axis of symmetry goes through the x-coordinate of the vertex, hence h = -3. The minimum of the parabola is the y-coordinate of the vertex, so k= 7. Now substitute it into the formula;
Now substitute in the given point; ( -1, 9) and solve for a;
Hence the equation in vertex form is;
In standard form it is;