Answer:
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Answer:
A
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (1, 0) , thus
y = a(x - 1)² + 0
To find a substitute the coordinates of the y- intercept (0, 1) into the equation
1 = a(- 1)² = a , thus
a = 1
y = (x - 1)² → A
Answer:
x = -2 to x = 1
Step-by-step explanation:
A function is constant when the y value does not change (i.e. the graph is a horizontal line). This is true between x = -2 and x = 1.
Angle 1 is a vertical angle in relation to the given angle, 117°, so it has the same measure.
Angle 2 is a corresponding angle to angle 1 where the transversal crosses parallel lines, so it has the same measure. (It is also an alternate exterior angle with respect to 117°, so has the same measure.)
∠1 = ∠2 = 117°
Answer:
Step-by-step explanation:
The equation for a circle in standard form is , where h and k are the coordinates of the center. Our center has an h value of -2 and a k value of -3 with an r value of 3. Fitting those values into our standard form of a circle we have . Subtracting a negative is the same as adding, and squaring the right side gives us 9, so the equation is . Third choice from the top.
